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Finding the Third Proportional to 4,732,904 and 6,767,472

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Solution

The third proportional to 4,732,904 and 6,767,472 is: 9,676,654.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,732,904 : 6,767,472 = 6,767,472 : x
  2. Step 2: Convert to fraction form
    4,732,904/6,767,472 = 6,767,472/x
  3. Step 3: Cross multiply
    4,732,904x = 6,767,472 × 6,767,472
  4. Step 4: Simplify right side
    4,732,904x = 45,798,677,270,784
  5. Step 5: Solve for x
    x = 45,798,677,270,784/4,732,904
  6. Step 6: Final answer
    x = 9,676,654.60

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.