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Finding the Third Proportional to 470,480 and 1,001,650

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Solution

The third proportional to 470,480 and 1,001,650 is: 2,132,508.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,480 : 1,001,650 = 1,001,650 : x
  2. Step 2: Convert to fraction form
    470,480/1,001,650 = 1,001,650/x
  3. Step 3: Cross multiply
    470,480x = 1,001,650 × 1,001,650
  4. Step 4: Simplify right side
    470,480x = 1,003,302,722,500
  5. Step 5: Solve for x
    x = 1,003,302,722,500/470,480
  6. Step 6: Final answer
    x = 2,132,508.76

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.