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Finding the Third Proportional to 1,866,746.53 and 4,062,011.06

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Solution

The third proportional to 1,866,746.53 and 4,062,011.06 is: 8,838,872.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,866,746.53 : 4,062,011.06 = 4,062,011.06 : x
  2. Step 2: Convert to fraction form
    1,866,746.53/4,062,011.06 = 4,062,011.06/x
  3. Step 3: Cross multiply
    1,866,746.53x = 4,062,011.06 × 4,062,011.06
  4. Step 4: Simplify right side
    1,866,746.53x = 16,499,933,871,872.38
  5. Step 5: Solve for x
    x = 16,499,933,871,872.38/1,866,746.53
  6. Step 6: Final answer
    x = 8,838,872.12

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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.