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Finding the Third Proportional to 657,612.11 and 1,009,484.17

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Solution

The third proportional to 657,612.11 and 1,009,484.17 is: 1,549,634.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,612.11 : 1,009,484.17 = 1,009,484.17 : x
  2. Step 2: Convert to fraction form
    657,612.11/1,009,484.17 = 1,009,484.17/x
  3. Step 3: Cross multiply
    657,612.11x = 1,009,484.17 × 1,009,484.17
  4. Step 4: Simplify right side
    657,612.11x = 1,019,058,297,209.40
  5. Step 5: Solve for x
    x = 1,019,058,297,209.40/657,612.11
  6. Step 6: Final answer
    x = 1,549,634.33

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.