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Finding the Third Proportional to 651,104.95 and 1,402,213.57

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Solution

The third proportional to 651,104.95 and 1,402,213.57 is: 3,019,794.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    651,104.95 : 1,402,213.57 = 1,402,213.57 : x
  2. Step 2: Convert to fraction form
    651,104.95/1,402,213.57 = 1,402,213.57/x
  3. Step 3: Cross multiply
    651,104.95x = 1,402,213.57 × 1,402,213.57
  4. Step 4: Simplify right side
    651,104.95x = 1,966,202,896,768.53
  5. Step 5: Solve for x
    x = 1,966,202,896,768.53/651,104.95
  6. Step 6: Final answer
    x = 3,019,794.13

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.