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Finding the Third Proportional to 768,313 and 1,127,551

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Solution

The third proportional to 768,313 and 1,127,551 is: 1,654,756.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    768,313 : 1,127,551 = 1,127,551 : x
  2. Step 2: Convert to fraction form
    768,313/1,127,551 = 1,127,551/x
  3. Step 3: Cross multiply
    768,313x = 1,127,551 × 1,127,551
  4. Step 4: Simplify right side
    768,313x = 1,271,371,257,601
  5. Step 5: Solve for x
    x = 1,271,371,257,601/768,313
  6. Step 6: Final answer
    x = 1,654,756.93

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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.