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Finding the Third Proportional to 1,077,688 and 1,690,566

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Solution

The third proportional to 1,077,688 and 1,690,566 is: 2,651,985.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,077,688 : 1,690,566 = 1,690,566 : x
  2. Step 2: Convert to fraction form
    1,077,688/1,690,566 = 1,690,566/x
  3. Step 3: Cross multiply
    1,077,688x = 1,690,566 × 1,690,566
  4. Step 4: Simplify right side
    1,077,688x = 2,858,013,400,356
  5. Step 5: Solve for x
    x = 2,858,013,400,356/1,077,688
  6. Step 6: Final answer
    x = 2,651,985.92

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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.