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Finding the Third Proportional to 768,384 and 1,127,664

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Solution

The third proportional to 768,384 and 1,127,664 is: 1,654,935.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    768,384 : 1,127,664 = 1,127,664 : x
  2. Step 2: Convert to fraction form
    768,384/1,127,664 = 1,127,664/x
  3. Step 3: Cross multiply
    768,384x = 1,127,664 × 1,127,664
  4. Step 4: Simplify right side
    768,384x = 1,271,626,096,896
  5. Step 5: Solve for x
    x = 1,271,626,096,896/768,384
  6. Step 6: Final answer
    x = 1,654,935.68

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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.