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Finding the Third Proportional to 975,535 and 2,086,663

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Solution

The third proportional to 975,535 and 2,086,663 is: 4,463,358.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    975,535 : 2,086,663 = 2,086,663 : x
  2. Step 2: Convert to fraction form
    975,535/2,086,663 = 2,086,663/x
  3. Step 3: Cross multiply
    975,535x = 2,086,663 × 2,086,663
  4. Step 4: Simplify right side
    975,535x = 4,354,162,475,569
  5. Step 5: Solve for x
    x = 4,354,162,475,569/975,535
  6. Step 6: Final answer
    x = 4,463,358.54

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.