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Finding the Third Proportional to 604,877,464.13 and 934,178,878.69

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Solution

The third proportional to 604,877,464.13 and 934,178,878.69 is: 1,442,755,316.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    604,877,464.13 : 934,178,878.69 = 934,178,878.69 : x
  2. Step 2: Convert to fraction form
    604,877,464.13/934,178,878.69 = 934,178,878.69/x
  3. Step 3: Cross multiply
    604,877,464.13x = 934,178,878.69 × 934,178,878.69
  4. Step 4: Simplify right side
    604,877,464.13x = 872,690,177,385,834,880
  5. Step 5: Solve for x
    x = 872,690,177,385,834,880/604,877,464.13
  6. Step 6: Final answer
    x = 1,442,755,316.81

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.