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Finding the Third Proportional to 405,038,320 and 883,670,458

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Solution

The third proportional to 405,038,320 and 883,670,458 is: 1,927,900,249.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,038,320 : 883,670,458 = 883,670,458 : x
  2. Step 2: Convert to fraction form
    405,038,320/883,670,458 = 883,670,458/x
  3. Step 3: Cross multiply
    405,038,320x = 883,670,458 × 883,670,458
  4. Step 4: Simplify right side
    405,038,320x = 780,873,478,341,929,728
  5. Step 5: Solve for x
    x = 780,873,478,341,929,728/405,038,320
  6. Step 6: Final answer
    x = 1,927,900,249.89

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.