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Finding the Third Proportional to 581,040 and 1,266,624

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Solution

The third proportional to 581,040 and 1,266,624 is: 2,761,146.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    581,040 : 1,266,624 = 1,266,624 : x
  2. Step 2: Convert to fraction form
    581,040/1,266,624 = 1,266,624/x
  3. Step 3: Cross multiply
    581,040x = 1,266,624 × 1,266,624
  4. Step 4: Simplify right side
    581,040x = 1,604,336,357,376
  5. Step 5: Solve for x
    x = 1,604,336,357,376/581,040
  6. Step 6: Final answer
    x = 2,761,146.15

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.