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Finding the Third Proportional to 560,430 and 1,160,739

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Solution

The third proportional to 560,430 and 1,160,739 is: 2,404,073.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,430 : 1,160,739 = 1,160,739 : x
  2. Step 2: Convert to fraction form
    560,430/1,160,739 = 1,160,739/x
  3. Step 3: Cross multiply
    560,430x = 1,160,739 × 1,160,739
  4. Step 4: Simplify right side
    560,430x = 1,347,315,026,121
  5. Step 5: Solve for x
    x = 1,347,315,026,121/560,430
  6. Step 6: Final answer
    x = 2,404,073.70

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.