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Finding the Third Proportional to 964,791 and 1,418,283

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Solution

The third proportional to 964,791 and 1,418,283 is: 2,084,935.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    964,791 : 1,418,283 = 1,418,283 : x
  2. Step 2: Convert to fraction form
    964,791/1,418,283 = 1,418,283/x
  3. Step 3: Cross multiply
    964,791x = 1,418,283 × 1,418,283
  4. Step 4: Simplify right side
    964,791x = 2,011,526,668,089
  5. Step 5: Solve for x
    x = 2,011,526,668,089/964,791
  6. Step 6: Final answer
    x = 2,084,935.15

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.