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Finding the Third Proportional to 2,359,597.13 and 3,730,468.88

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Solution

The third proportional to 2,359,597.13 and 3,730,468.88 is: 5,897,785.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,359,597.13 : 3,730,468.88 = 3,730,468.88 : x
  2. Step 2: Convert to fraction form
    2,359,597.13/3,730,468.88 = 3,730,468.88/x
  3. Step 3: Cross multiply
    2,359,597.13x = 3,730,468.88 × 3,730,468.88
  4. Step 4: Simplify right side
    2,359,597.13x = 13,916,398,027,343.77
  5. Step 5: Solve for x
    x = 13,916,398,027,343.77/2,359,597.13
  6. Step 6: Final answer
    x = 5,897,785.63

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.