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Finding the Third Proportional to 497,770 and 1,085,952

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Solution

The third proportional to 497,770 and 1,085,952 is: 2,369,149.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,770 : 1,085,952 = 1,085,952 : x
  2. Step 2: Convert to fraction form
    497,770/1,085,952 = 1,085,952/x
  3. Step 3: Cross multiply
    497,770x = 1,085,952 × 1,085,952
  4. Step 4: Simplify right side
    497,770x = 1,179,291,746,304
  5. Step 5: Solve for x
    x = 1,179,291,746,304/497,770
  6. Step 6: Final answer
    x = 2,369,149.90

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.