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Finding the Third Proportional to 1,077,541 and 1,690,345.50

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Solution

The third proportional to 1,077,541 and 1,690,345.50 is: 2,651,655.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,077,541 : 1,690,345.50 = 1,690,345.50 : x
  2. Step 2: Convert to fraction form
    1,077,541/1,690,345.50 = 1,690,345.50/x
  3. Step 3: Cross multiply
    1,077,541x = 1,690,345.50 × 1,690,345.50
  4. Step 4: Simplify right side
    1,077,541x = 2,857,267,909,370.25
  5. Step 5: Solve for x
    x = 2,857,267,909,370.25/1,077,541
  6. Step 6: Final answer
    x = 2,651,655.86

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.