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Finding the Third Proportional to 956,808 and 1,541,664

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Solution

The third proportional to 956,808 and 1,541,664 is: 2,484,017.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    956,808 : 1,541,664 = 1,541,664 : x
  2. Step 2: Convert to fraction form
    956,808/1,541,664 = 1,541,664/x
  3. Step 3: Cross multiply
    956,808x = 1,541,664 × 1,541,664
  4. Step 4: Simplify right side
    956,808x = 2,376,727,888,896
  5. Step 5: Solve for x
    x = 2,376,727,888,896/956,808
  6. Step 6: Final answer
    x = 2,484,017.58

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.