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Finding the Third Proportional to 900,486 and 1,921,476

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Solution

The third proportional to 900,486 and 1,921,476 is: 4,100,085.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    900,486 : 1,921,476 = 1,921,476 : x
  2. Step 2: Convert to fraction form
    900,486/1,921,476 = 1,921,476/x
  3. Step 3: Cross multiply
    900,486x = 1,921,476 × 1,921,476
  4. Step 4: Simplify right side
    900,486x = 3,692,070,018,576
  5. Step 5: Solve for x
    x = 3,692,070,018,576/900,486
  6. Step 6: Final answer
    x = 4,100,085.97

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.