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Finding the Third Proportional to 461,520 and 1,001,770

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Solution

The third proportional to 461,520 and 1,001,770 is: 2,174,430.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,520 : 1,001,770 = 1,001,770 : x
  2. Step 2: Convert to fraction form
    461,520/1,001,770 = 1,001,770/x
  3. Step 3: Cross multiply
    461,520x = 1,001,770 × 1,001,770
  4. Step 4: Simplify right side
    461,520x = 1,003,543,132,900
  5. Step 5: Solve for x
    x = 1,003,543,132,900/461,520
  6. Step 6: Final answer
    x = 2,174,430.43

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.