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Finding the Third Proportional to 957,294 and 2,019,160

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Solution

The third proportional to 957,294 and 2,019,160 is: 4,258,887.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    957,294 : 2,019,160 = 2,019,160 : x
  2. Step 2: Convert to fraction form
    957,294/2,019,160 = 2,019,160/x
  3. Step 3: Cross multiply
    957,294x = 2,019,160 × 2,019,160
  4. Step 4: Simplify right side
    957,294x = 4,077,007,105,600
  5. Step 5: Solve for x
    x = 4,077,007,105,600/957,294
  6. Step 6: Final answer
    x = 4,258,887.14

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.