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Finding the Third Proportional to 946,515 and 2,053,572

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Solution

The third proportional to 946,515 and 2,053,572 is: 4,455,458.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    946,515 : 2,053,572 = 2,053,572 : x
  2. Step 2: Convert to fraction form
    946,515/2,053,572 = 2,053,572/x
  3. Step 3: Cross multiply
    946,515x = 2,053,572 × 2,053,572
  4. Step 4: Simplify right side
    946,515x = 4,217,157,959,184
  5. Step 5: Solve for x
    x = 4,217,157,959,184/946,515
  6. Step 6: Final answer
    x = 4,455,458.14

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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.