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Finding the Third Proportional to 657,571.50 and 1,366,804.13

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Solution

The third proportional to 657,571.50 and 1,366,804.13 is: 2,840,989.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,571.50 : 1,366,804.13 = 1,366,804.13 : x
  2. Step 2: Convert to fraction form
    657,571.50/1,366,804.13 = 1,366,804.13/x
  3. Step 3: Cross multiply
    657,571.50x = 1,366,804.13 × 1,366,804.13
  4. Step 4: Simplify right side
    657,571.50x = 1,868,153,516,117.02
  5. Step 5: Solve for x
    x = 1,868,153,516,117.02/657,571.50
  6. Step 6: Final answer
    x = 2,840,989.18

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.