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Finding the Third Proportional to 686,152.13 and 1,066,596.19

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Solution

The third proportional to 686,152.13 and 1,066,596.19 is: 1,657,981.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,152.13 : 1,066,596.19 = 1,066,596.19 : x
  2. Step 2: Convert to fraction form
    686,152.13/1,066,596.19 = 1,066,596.19/x
  3. Step 3: Cross multiply
    686,152.13x = 1,066,596.19 × 1,066,596.19
  4. Step 4: Simplify right side
    686,152.13x = 1,137,627,427,189.54
  5. Step 5: Solve for x
    x = 1,137,627,427,189.54/686,152.13
  6. Step 6: Final answer
    x = 1,657,981.35

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.