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Finding the Third Proportional to 971,058 and 1,470,081

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Solution

The third proportional to 971,058 and 1,470,081 is: 2,225,550.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    971,058 : 1,470,081 = 1,470,081 : x
  2. Step 2: Convert to fraction form
    971,058/1,470,081 = 1,470,081/x
  3. Step 3: Cross multiply
    971,058x = 1,470,081 × 1,470,081
  4. Step 4: Simplify right side
    971,058x = 2,161,138,146,561
  5. Step 5: Solve for x
    x = 2,161,138,146,561/971,058
  6. Step 6: Final answer
    x = 2,225,550.02

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.