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Finding the Third Proportional to 432,153 and 933,547.31

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Solution

The third proportional to 432,153 and 933,547.31 is: 2,016,671.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,153 : 933,547.31 = 933,547.31 : x
  2. Step 2: Convert to fraction form
    432,153/933,547.31 = 933,547.31/x
  3. Step 3: Cross multiply
    432,153x = 933,547.31 × 933,547.31
  4. Step 4: Simplify right side
    432,153x = 871,510,584,675.97
  5. Step 5: Solve for x
    x = 871,510,584,675.97/432,153
  6. Step 6: Final answer
    x = 2,016,671.37

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.