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Finding the Third Proportional to 472,898 and 1,007,140

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Solution

The third proportional to 472,898 and 1,007,140 is: 2,144,925.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,898 : 1,007,140 = 1,007,140 : x
  2. Step 2: Convert to fraction form
    472,898/1,007,140 = 1,007,140/x
  3. Step 3: Cross multiply
    472,898x = 1,007,140 × 1,007,140
  4. Step 4: Simplify right side
    472,898x = 1,014,330,979,600
  5. Step 5: Solve for x
    x = 1,014,330,979,600/472,898
  6. Step 6: Final answer
    x = 2,144,925.50

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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.