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Finding the Third Proportional to 957,410 and 2,073,316

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Solution

The third proportional to 957,410 and 2,073,316 is: 4,489,862.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    957,410 : 2,073,316 = 2,073,316 : x
  2. Step 2: Convert to fraction form
    957,410/2,073,316 = 2,073,316/x
  3. Step 3: Cross multiply
    957,410x = 2,073,316 × 2,073,316
  4. Step 4: Simplify right side
    957,410x = 4,298,639,235,856
  5. Step 5: Solve for x
    x = 4,298,639,235,856/957,410
  6. Step 6: Final answer
    x = 4,489,862.48

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.