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Finding the Third Proportional to 817,911 and 1,358,430.75

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Solution

The third proportional to 817,911 and 1,358,430.75 is: 2,256,155.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    817,911 : 1,358,430.75 = 1,358,430.75 : x
  2. Step 2: Convert to fraction form
    817,911/1,358,430.75 = 1,358,430.75/x
  3. Step 3: Cross multiply
    817,911x = 1,358,430.75 × 1,358,430.75
  4. Step 4: Simplify right side
    817,911x = 1,845,334,102,545.56
  5. Step 5: Solve for x
    x = 1,845,334,102,545.56/817,911
  6. Step 6: Final answer
    x = 2,256,155.13

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.