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Finding the Third Proportional to 870,644 and 1,182,312

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Solution

The third proportional to 870,644 and 1,182,312 is: 1,605,549.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    870,644 : 1,182,312 = 1,182,312 : x
  2. Step 2: Convert to fraction form
    870,644/1,182,312 = 1,182,312/x
  3. Step 3: Cross multiply
    870,644x = 1,182,312 × 1,182,312
  4. Step 4: Simplify right side
    870,644x = 1,397,861,665,344
  5. Step 5: Solve for x
    x = 1,397,861,665,344/870,644
  6. Step 6: Final answer
    x = 1,605,549.07

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.