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Finding the Third Proportional to 668,298.09 and 1,437,308.30

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Solution

The third proportional to 668,298.09 and 1,437,308.30 is: 3,091,218.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    668,298.09 : 1,437,308.30 = 1,437,308.30 : x
  2. Step 2: Convert to fraction form
    668,298.09/1,437,308.30 = 1,437,308.30/x
  3. Step 3: Cross multiply
    668,298.09x = 1,437,308.30 × 1,437,308.30
  4. Step 4: Simplify right side
    668,298.09x = 2,065,855,140,265.71
  5. Step 5: Solve for x
    x = 2,065,855,140,265.71/668,298.09
  6. Step 6: Final answer
    x = 3,091,218.07

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.