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Finding the Third Proportional to 657,754 and 983,987

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Solution

The third proportional to 657,754 and 983,987 is: 1,472,025.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,754 : 983,987 = 983,987 : x
  2. Step 2: Convert to fraction form
    657,754/983,987 = 983,987/x
  3. Step 3: Cross multiply
    657,754x = 983,987 × 983,987
  4. Step 4: Simplify right side
    657,754x = 968,230,416,169
  5. Step 5: Solve for x
    x = 968,230,416,169/657,754
  6. Step 6: Final answer
    x = 1,472,025.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.