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Finding the Third Proportional to 502,582 and 1,083,895

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Solution

The third proportional to 502,582 and 1,083,895 is: 2,337,585.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,582 : 1,083,895 = 1,083,895 : x
  2. Step 2: Convert to fraction form
    502,582/1,083,895 = 1,083,895/x
  3. Step 3: Cross multiply
    502,582x = 1,083,895 × 1,083,895
  4. Step 4: Simplify right side
    502,582x = 1,174,828,371,025
  5. Step 5: Solve for x
    x = 1,174,828,371,025/502,582
  6. Step 6: Final answer
    x = 2,337,585.45

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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.