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Finding the Third Proportional to 876,970.13 and 1,921,519.13

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Solution

The third proportional to 876,970.13 and 1,921,519.13 is: 4,210,218.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    876,970.13 : 1,921,519.13 = 1,921,519.13 : x
  2. Step 2: Convert to fraction form
    876,970.13/1,921,519.13 = 1,921,519.13/x
  3. Step 3: Cross multiply
    876,970.13x = 1,921,519.13 × 1,921,519.13
  4. Step 4: Simplify right side
    876,970.13x = 3,692,235,747,740.77
  5. Step 5: Solve for x
    x = 3,692,235,747,740.77/876,970.13
  6. Step 6: Final answer
    x = 4,210,218.39

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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.