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Finding the Third Proportional to 418,752 and 915,732

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Solution

The third proportional to 418,752 and 915,732 is: 2,002,533.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,752 : 915,732 = 915,732 : x
  2. Step 2: Convert to fraction form
    418,752/915,732 = 915,732/x
  3. Step 3: Cross multiply
    418,752x = 915,732 × 915,732
  4. Step 4: Simplify right side
    418,752x = 838,565,095,824
  5. Step 5: Solve for x
    x = 838,565,095,824/418,752
  6. Step 6: Final answer
    x = 2,002,533.95

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.