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Finding the Third Proportional to 1,046,460 and 2,260,184

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Solution

The third proportional to 1,046,460 and 2,260,184 is: 4,881,631.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,046,460 : 2,260,184 = 2,260,184 : x
  2. Step 2: Convert to fraction form
    1,046,460/2,260,184 = 2,260,184/x
  3. Step 3: Cross multiply
    1,046,460x = 2,260,184 × 2,260,184
  4. Step 4: Simplify right side
    1,046,460x = 5,108,431,713,856
  5. Step 5: Solve for x
    x = 5,108,431,713,856/1,046,460
  6. Step 6: Final answer
    x = 4,881,631.13

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.