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Finding the Third Proportional to 539,854 and 1,249,787

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Solution

The third proportional to 539,854 and 1,249,787 is: 2,893,314.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,854 : 1,249,787 = 1,249,787 : x
  2. Step 2: Convert to fraction form
    539,854/1,249,787 = 1,249,787/x
  3. Step 3: Cross multiply
    539,854x = 1,249,787 × 1,249,787
  4. Step 4: Simplify right side
    539,854x = 1,561,967,545,369
  5. Step 5: Solve for x
    x = 1,561,967,545,369/539,854
  6. Step 6: Final answer
    x = 2,893,314.76

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.