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Finding the Third Proportional to 581,065 and 1,255,497

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Solution

The third proportional to 581,065 and 1,255,497 is: 2,712,730.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    581,065 : 1,255,497 = 1,255,497 : x
  2. Step 2: Convert to fraction form
    581,065/1,255,497 = 1,255,497/x
  3. Step 3: Cross multiply
    581,065x = 1,255,497 × 1,255,497
  4. Step 4: Simplify right side
    581,065x = 1,576,272,717,009
  5. Step 5: Solve for x
    x = 1,576,272,717,009/581,065
  6. Step 6: Final answer
    x = 2,712,730.45

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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.