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Finding the Third Proportional to 498,547 and 1,088,462

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Solution

The third proportional to 498,547 and 1,088,462 is: 2,376,404.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,547 : 1,088,462 = 1,088,462 : x
  2. Step 2: Convert to fraction form
    498,547/1,088,462 = 1,088,462/x
  3. Step 3: Cross multiply
    498,547x = 1,088,462 × 1,088,462
  4. Step 4: Simplify right side
    498,547x = 1,184,749,525,444
  5. Step 5: Solve for x
    x = 1,184,749,525,444/498,547
  6. Step 6: Final answer
    x = 2,376,404.88

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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.