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Finding the Third Proportional to 700,685 and 1,517,587

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Solution

The third proportional to 700,685 and 1,517,587 is: 3,286,883.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    700,685 : 1,517,587 = 1,517,587 : x
  2. Step 2: Convert to fraction form
    700,685/1,517,587 = 1,517,587/x
  3. Step 3: Cross multiply
    700,685x = 1,517,587 × 1,517,587
  4. Step 4: Simplify right side
    700,685x = 2,303,070,302,569
  5. Step 5: Solve for x
    x = 2,303,070,302,569/700,685
  6. Step 6: Final answer
    x = 3,286,883.98

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.