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Finding the Third Proportional to 506,397 and 1,109,418

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Solution

The third proportional to 506,397 and 1,109,418 is: 2,430,520.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,397 : 1,109,418 = 1,109,418 : x
  2. Step 2: Convert to fraction form
    506,397/1,109,418 = 1,109,418/x
  3. Step 3: Cross multiply
    506,397x = 1,109,418 × 1,109,418
  4. Step 4: Simplify right side
    506,397x = 1,230,808,298,724
  5. Step 5: Solve for x
    x = 1,230,808,298,724/506,397
  6. Step 6: Final answer
    x = 2,430,520.52

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.