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Finding the Third Proportional to 900,484 and 1,921,472

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Solution

The third proportional to 900,484 and 1,921,472 is: 4,100,078.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    900,484 : 1,921,472 = 1,921,472 : x
  2. Step 2: Convert to fraction form
    900,484/1,921,472 = 1,921,472/x
  3. Step 3: Cross multiply
    900,484x = 1,921,472 × 1,921,472
  4. Step 4: Simplify right side
    900,484x = 3,692,054,646,784
  5. Step 5: Solve for x
    x = 3,692,054,646,784/900,484
  6. Step 6: Final answer
    x = 4,100,078.01

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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.