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Finding the Third Proportional to 1,059,270.75 and 1,360,081.13

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Solution

The third proportional to 1,059,270.75 and 1,360,081.13 is: 1,746,315.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,059,270.75 : 1,360,081.13 = 1,360,081.13 : x
  2. Step 2: Convert to fraction form
    1,059,270.75/1,360,081.13 = 1,360,081.13/x
  3. Step 3: Cross multiply
    1,059,270.75x = 1,360,081.13 × 1,360,081.13
  4. Step 4: Simplify right side
    1,059,270.75x = 1,849,820,666,581.27
  5. Step 5: Solve for x
    x = 1,849,820,666,581.27/1,059,270.75
  6. Step 6: Final answer
    x = 1,746,315.25

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.