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Finding the Third Proportional to 612,814 and 945,060

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Solution

The third proportional to 612,814 and 945,060 is: 1,457,437.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    612,814 : 945,060 = 945,060 : x
  2. Step 2: Convert to fraction form
    612,814/945,060 = 945,060/x
  3. Step 3: Cross multiply
    612,814x = 945,060 × 945,060
  4. Step 4: Simplify right side
    612,814x = 893,138,403,600
  5. Step 5: Solve for x
    x = 893,138,403,600/612,814
  6. Step 6: Final answer
    x = 1,457,437.99

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.