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Finding the Third Proportional to 657,246 and 1,058,158

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Solution

The third proportional to 657,246 and 1,058,158 is: 1,703,621.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,246 : 1,058,158 = 1,058,158 : x
  2. Step 2: Convert to fraction form
    657,246/1,058,158 = 1,058,158/x
  3. Step 3: Cross multiply
    657,246x = 1,058,158 × 1,058,158
  4. Step 4: Simplify right side
    657,246x = 1,119,698,352,964
  5. Step 5: Solve for x
    x = 1,119,698,352,964/657,246
  6. Step 6: Final answer
    x = 1,703,621.40

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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.