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Finding the Third Proportional to 1,654,117.31 and 3,583,037.06

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Solution

The third proportional to 1,654,117.31 and 3,583,037.06 is: 7,761,332.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,654,117.31 : 3,583,037.06 = 3,583,037.06 : x
  2. Step 2: Convert to fraction form
    1,654,117.31/3,583,037.06 = 3,583,037.06/x
  3. Step 3: Cross multiply
    1,654,117.31x = 3,583,037.06 × 3,583,037.06
  4. Step 4: Simplify right side
    1,654,117.31x = 12,838,154,591,248.63
  5. Step 5: Solve for x
    x = 12,838,154,591,248.63/1,654,117.31
  6. Step 6: Final answer
    x = 7,761,332.58

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.