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Finding the Third Proportional to 461,152 and 1,009,784

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Solution

The third proportional to 461,152 and 1,009,784 is: 2,211,122.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,152 : 1,009,784 = 1,009,784 : x
  2. Step 2: Convert to fraction form
    461,152/1,009,784 = 1,009,784/x
  3. Step 3: Cross multiply
    461,152x = 1,009,784 × 1,009,784
  4. Step 4: Simplify right side
    461,152x = 1,019,663,726,656
  5. Step 5: Solve for x
    x = 1,019,663,726,656/461,152
  6. Step 6: Final answer
    x = 2,211,122.85

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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.