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Finding the Third Proportional to 657,585 and 1,027,900.13

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Solution

The third proportional to 657,585 and 1,027,900.13 is: 1,606,756.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,585 : 1,027,900.13 = 1,027,900.13 : x
  2. Step 2: Convert to fraction form
    657,585/1,027,900.13 = 1,027,900.13/x
  3. Step 3: Cross multiply
    657,585x = 1,027,900.13 × 1,027,900.13
  4. Step 4: Simplify right side
    657,585x = 1,056,578,666,975.02
  5. Step 5: Solve for x
    x = 1,056,578,666,975.02/657,585
  6. Step 6: Final answer
    x = 1,606,756.03

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.