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Finding the Third Proportional to 1,531,688 and 2,146,406

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Solution

The third proportional to 1,531,688 and 2,146,406 is: 3,007,831.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,531,688 : 2,146,406 = 2,146,406 : x
  2. Step 2: Convert to fraction form
    1,531,688/2,146,406 = 2,146,406/x
  3. Step 3: Cross multiply
    1,531,688x = 2,146,406 × 2,146,406
  4. Step 4: Simplify right side
    1,531,688x = 4,607,058,716,836
  5. Step 5: Solve for x
    x = 4,607,058,716,836/1,531,688
  6. Step 6: Final answer
    x = 3,007,831.04

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.