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Finding the Third Proportional to 900,480 and 1,921,464

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Solution

The third proportional to 900,480 and 1,921,464 is: 4,100,062.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    900,480 : 1,921,464 = 1,921,464 : x
  2. Step 2: Convert to fraction form
    900,480/1,921,464 = 1,921,464/x
  3. Step 3: Cross multiply
    900,480x = 1,921,464 × 1,921,464
  4. Step 4: Simplify right side
    900,480x = 3,692,023,903,296
  5. Step 5: Solve for x
    x = 3,692,023,903,296/900,480
  6. Step 6: Final answer
    x = 4,100,062.08

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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.