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Finding the Third Proportional to 1,256,670.70 and 2,712,580.52

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Solution

The third proportional to 1,256,670.70 and 2,712,580.52 is: 5,855,227.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,256,670.70 : 2,712,580.52 = 2,712,580.52 : x
  2. Step 2: Convert to fraction form
    1,256,670.70/2,712,580.52 = 2,712,580.52/x
  3. Step 3: Cross multiply
    1,256,670.70x = 2,712,580.52 × 2,712,580.52
  4. Step 4: Simplify right side
    1,256,670.70x = 7,358,093,096,132.46
  5. Step 5: Solve for x
    x = 7,358,093,096,132.46/1,256,670.70
  6. Step 6: Final answer
    x = 5,855,227.69

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.