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Finding the Third Proportional to 657,952 and 1,415,696

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Solution

The third proportional to 657,952 and 1,415,696 is: 3,046,111.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,952 : 1,415,696 = 1,415,696 : x
  2. Step 2: Convert to fraction form
    657,952/1,415,696 = 1,415,696/x
  3. Step 3: Cross multiply
    657,952x = 1,415,696 × 1,415,696
  4. Step 4: Simplify right side
    657,952x = 2,004,195,164,416
  5. Step 5: Solve for x
    x = 2,004,195,164,416/657,952
  6. Step 6: Final answer
    x = 3,046,111.52

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.