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Finding the Third Proportional to 877,728 and 1,176,624

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Solution

The third proportional to 877,728 and 1,176,624 is: 1,577,304.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    877,728 : 1,176,624 = 1,176,624 : x
  2. Step 2: Convert to fraction form
    877,728/1,176,624 = 1,176,624/x
  3. Step 3: Cross multiply
    877,728x = 1,176,624 × 1,176,624
  4. Step 4: Simplify right side
    877,728x = 1,384,444,037,376
  5. Step 5: Solve for x
    x = 1,384,444,037,376/877,728
  6. Step 6: Final answer
    x = 1,577,304.17

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.