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Finding the Third Proportional to 472,998 and 1,007,340

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Solution

The third proportional to 472,998 and 1,007,340 is: 2,145,323.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,998 : 1,007,340 = 1,007,340 : x
  2. Step 2: Convert to fraction form
    472,998/1,007,340 = 1,007,340/x
  3. Step 3: Cross multiply
    472,998x = 1,007,340 × 1,007,340
  4. Step 4: Simplify right side
    472,998x = 1,014,733,875,600
  5. Step 5: Solve for x
    x = 1,014,733,875,600/472,998
  6. Step 6: Final answer
    x = 2,145,323.82

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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.