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Finding the Third Proportional to 978,716 and 1,425,468

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Solution

The third proportional to 978,716 and 1,425,468 is: 2,076,147.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    978,716 : 1,425,468 = 1,425,468 : x
  2. Step 2: Convert to fraction form
    978,716/1,425,468 = 1,425,468/x
  3. Step 3: Cross multiply
    978,716x = 1,425,468 × 1,425,468
  4. Step 4: Simplify right side
    978,716x = 2,031,959,019,024
  5. Step 5: Solve for x
    x = 2,031,959,019,024/978,716
  6. Step 6: Final answer
    x = 2,076,147.75

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.