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Finding the Third Proportional to 506,292.40 and 1,107,155.46

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Solution

The third proportional to 506,292.40 and 1,107,155.46 is: 2,421,117.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,292.40 : 1,107,155.46 = 1,107,155.46 : x
  2. Step 2: Convert to fraction form
    506,292.40/1,107,155.46 = 1,107,155.46/x
  3. Step 3: Cross multiply
    506,292.40x = 1,107,155.46 × 1,107,155.46
  4. Step 4: Simplify right side
    506,292.40x = 1,225,793,214,683.73
  5. Step 5: Solve for x
    x = 1,225,793,214,683.73/506,292.40
  6. Step 6: Final answer
    x = 2,421,117.16

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.