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Finding the Third Proportional to 1,003,468 and 2,144,312

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Solution

The third proportional to 1,003,468 and 2,144,312 is: 4,582,182.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,003,468 : 2,144,312 = 2,144,312 : x
  2. Step 2: Convert to fraction form
    1,003,468/2,144,312 = 2,144,312/x
  3. Step 3: Cross multiply
    1,003,468x = 2,144,312 × 2,144,312
  4. Step 4: Simplify right side
    1,003,468x = 4,598,073,953,344
  5. Step 5: Solve for x
    x = 4,598,073,953,344/1,003,468
  6. Step 6: Final answer
    x = 4,582,182.94

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.