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Finding the Third Proportional to 771,776 and 1,668,448

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Solution

The third proportional to 771,776 and 1,668,448 is: 3,606,899.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    771,776 : 1,668,448 = 1,668,448 : x
  2. Step 2: Convert to fraction form
    771,776/1,668,448 = 1,668,448/x
  3. Step 3: Cross multiply
    771,776x = 1,668,448 × 1,668,448
  4. Step 4: Simplify right side
    771,776x = 2,783,718,728,704
  5. Step 5: Solve for x
    x = 2,783,718,728,704/771,776
  6. Step 6: Final answer
    x = 3,606,899.84

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.