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Finding the Third Proportional to 1,464,304.71 and 3,153,636.91

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Solution

The third proportional to 1,464,304.71 and 3,153,636.91 is: 6,791,909.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,464,304.71 : 3,153,636.91 = 3,153,636.91 : x
  2. Step 2: Convert to fraction form
    1,464,304.71/3,153,636.91 = 3,153,636.91/x
  3. Step 3: Cross multiply
    1,464,304.71x = 3,153,636.91 × 3,153,636.91
  4. Step 4: Simplify right side
    1,464,304.71x = 9,945,425,785,737.65
  5. Step 5: Solve for x
    x = 9,945,425,785,737.65/1,464,304.71
  6. Step 6: Final answer
    x = 6,791,909.98

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.