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Finding the Third Proportional to 461,154 and 1,009,788

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Solution

The third proportional to 461,154 and 1,009,788 is: 2,211,130.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,154 : 1,009,788 = 1,009,788 : x
  2. Step 2: Convert to fraction form
    461,154/1,009,788 = 1,009,788/x
  3. Step 3: Cross multiply
    461,154x = 1,009,788 × 1,009,788
  4. Step 4: Simplify right side
    461,154x = 1,019,671,804,944
  5. Step 5: Solve for x
    x = 1,019,671,804,944/461,154
  6. Step 6: Final answer
    x = 2,211,130.78

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.