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Finding the Third Proportional to 445,681 and 960,663

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Solution

The third proportional to 445,681 and 960,663 is: 2,070,703.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,681 : 960,663 = 960,663 : x
  2. Step 2: Convert to fraction form
    445,681/960,663 = 960,663/x
  3. Step 3: Cross multiply
    445,681x = 960,663 × 960,663
  4. Step 4: Simplify right side
    445,681x = 922,873,399,569
  5. Step 5: Solve for x
    x = 922,873,399,569/445,681
  6. Step 6: Final answer
    x = 2,070,703.93

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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.