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Finding the Third Proportional to 502,607 and 1,083,946

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Solution

The third proportional to 502,607 and 1,083,946 is: 2,337,689.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,607 : 1,083,946 = 1,083,946 : x
  2. Step 2: Convert to fraction form
    502,607/1,083,946 = 1,083,946/x
  3. Step 3: Cross multiply
    502,607x = 1,083,946 × 1,083,946
  4. Step 4: Simplify right side
    502,607x = 1,174,938,930,916
  5. Step 5: Solve for x
    x = 1,174,938,930,916/502,607
  6. Step 6: Final answer
    x = 2,337,689.15

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.