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Finding the Third Proportional to 657,246 and 1,058,157

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Solution

The third proportional to 657,246 and 1,058,157 is: 1,703,618.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,246 : 1,058,157 = 1,058,157 : x
  2. Step 2: Convert to fraction form
    657,246/1,058,157 = 1,058,157/x
  3. Step 3: Cross multiply
    657,246x = 1,058,157 × 1,058,157
  4. Step 4: Simplify right side
    657,246x = 1,119,696,236,649
  5. Step 5: Solve for x
    x = 1,119,696,236,649/657,246
  6. Step 6: Final answer
    x = 1,703,618.18

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.