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Finding the Third Proportional to 487,998 and 1,057,454

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Solution

The third proportional to 487,998 and 1,057,454 is: 2,291,421.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    487,998 : 1,057,454 = 1,057,454 : x
  2. Step 2: Convert to fraction form
    487,998/1,057,454 = 1,057,454/x
  3. Step 3: Cross multiply
    487,998x = 1,057,454 × 1,057,454
  4. Step 4: Simplify right side
    487,998x = 1,118,208,962,116
  5. Step 5: Solve for x
    x = 1,118,208,962,116/487,998
  6. Step 6: Final answer
    x = 2,291,421.20

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.