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Finding the Third Proportional to 1,559,422.13 and 3,142,024.17

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Solution

The third proportional to 1,559,422.13 and 3,142,024.17 is: 6,330,752.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,559,422.13 : 3,142,024.17 = 3,142,024.17 : x
  2. Step 2: Convert to fraction form
    1,559,422.13/3,142,024.17 = 3,142,024.17/x
  3. Step 3: Cross multiply
    1,559,422.13x = 3,142,024.17 × 3,142,024.17
  4. Step 4: Simplify right side
    1,559,422.13x = 9,872,315,896,646.78
  5. Step 5: Solve for x
    x = 9,872,315,896,646.78/1,559,422.13
  6. Step 6: Final answer
    x = 6,330,752.74

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Why These Related Problems?

These problems maintain the same ratio (2.01) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.