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Finding the Third Proportional to 563,146 and 1,214,312

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Solution

The third proportional to 563,146 and 1,214,312 is: 2,618,421.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,146 : 1,214,312 = 1,214,312 : x
  2. Step 2: Convert to fraction form
    563,146/1,214,312 = 1,214,312/x
  3. Step 3: Cross multiply
    563,146x = 1,214,312 × 1,214,312
  4. Step 4: Simplify right side
    563,146x = 1,474,553,633,344
  5. Step 5: Solve for x
    x = 1,474,553,633,344/563,146
  6. Step 6: Final answer
    x = 2,618,421.57

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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.