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Finding the Third Proportional to 602,427 and 1,254,792

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Solution

The third proportional to 602,427 and 1,254,792 is: 2,613,599.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,427 : 1,254,792 = 1,254,792 : x
  2. Step 2: Convert to fraction form
    602,427/1,254,792 = 1,254,792/x
  3. Step 3: Cross multiply
    602,427x = 1,254,792 × 1,254,792
  4. Step 4: Simplify right side
    602,427x = 1,574,502,963,264
  5. Step 5: Solve for x
    x = 1,574,502,963,264/602,427
  6. Step 6: Final answer
    x = 2,613,599.60

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.