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Finding the Third Proportional to 899,501 and 1,948,470

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Solution

The third proportional to 899,501 and 1,948,470 is: 4,220,712.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    899,501 : 1,948,470 = 1,948,470 : x
  2. Step 2: Convert to fraction form
    899,501/1,948,470 = 1,948,470/x
  3. Step 3: Cross multiply
    899,501x = 1,948,470 × 1,948,470
  4. Step 4: Simplify right side
    899,501x = 3,796,535,340,900
  5. Step 5: Solve for x
    x = 3,796,535,340,900/899,501
  6. Step 6: Final answer
    x = 4,220,712.75

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.