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Finding the Third Proportional to 580,940 and 960,047

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Solution

The third proportional to 580,940 and 960,047 is: 1,586,549.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,940 : 960,047 = 960,047 : x
  2. Step 2: Convert to fraction form
    580,940/960,047 = 960,047/x
  3. Step 3: Cross multiply
    580,940x = 960,047 × 960,047
  4. Step 4: Simplify right side
    580,940x = 921,690,242,209
  5. Step 5: Solve for x
    x = 921,690,242,209/580,940
  6. Step 6: Final answer
    x = 1,586,549.80

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.