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Finding the Third Proportional to 585,701 and 884,791

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Solution

The third proportional to 585,701 and 884,791 is: 1,336,612.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,701 : 884,791 = 884,791 : x
  2. Step 2: Convert to fraction form
    585,701/884,791 = 884,791/x
  3. Step 3: Cross multiply
    585,701x = 884,791 × 884,791
  4. Step 4: Simplify right side
    585,701x = 782,855,113,681
  5. Step 5: Solve for x
    x = 782,855,113,681/585,701
  6. Step 6: Final answer
    x = 1,336,612.22

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.