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Finding the Third Proportional to 450,096 and 977,466

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Solution

The third proportional to 450,096 and 977,466 is: 2,122,746.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,096 : 977,466 = 977,466 : x
  2. Step 2: Convert to fraction form
    450,096/977,466 = 977,466/x
  3. Step 3: Cross multiply
    450,096x = 977,466 × 977,466
  4. Step 4: Simplify right side
    450,096x = 955,439,781,156
  5. Step 5: Solve for x
    x = 955,439,781,156/450,096
  6. Step 6: Final answer
    x = 2,122,746.66

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.