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Finding the Third Proportional to 1,429,681.64 and 3,147,227.16

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Solution

The third proportional to 1,429,681.64 and 3,147,227.16 is: 6,928,142.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,429,681.64 : 3,147,227.16 = 3,147,227.16 : x
  2. Step 2: Convert to fraction form
    1,429,681.64/3,147,227.16 = 3,147,227.16/x
  3. Step 3: Cross multiply
    1,429,681.64x = 3,147,227.16 × 3,147,227.16
  4. Step 4: Simplify right side
    1,429,681.64x = 9,905,038,773,037.46
  5. Step 5: Solve for x
    x = 9,905,038,773,037.46/1,429,681.64
  6. Step 6: Final answer
    x = 6,928,142.95

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.