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Finding the Third Proportional to 581,952 and 1,255,712

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Solution

The third proportional to 581,952 and 1,255,712 is: 2,709,523.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    581,952 : 1,255,712 = 1,255,712 : x
  2. Step 2: Convert to fraction form
    581,952/1,255,712 = 1,255,712/x
  3. Step 3: Cross multiply
    581,952x = 1,255,712 × 1,255,712
  4. Step 4: Simplify right side
    581,952x = 1,576,812,626,944
  5. Step 5: Solve for x
    x = 1,576,812,626,944/581,952
  6. Step 6: Final answer
    x = 2,709,523.51

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Why These Related Problems?

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