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Finding the Third Proportional to 931,024 and 1,423,614

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Solution

The third proportional to 931,024 and 1,423,614 is: 2,176,825.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    931,024 : 1,423,614 = 1,423,614 : x
  2. Step 2: Convert to fraction form
    931,024/1,423,614 = 1,423,614/x
  3. Step 3: Cross multiply
    931,024x = 1,423,614 × 1,423,614
  4. Step 4: Simplify right side
    931,024x = 2,026,676,820,996
  5. Step 5: Solve for x
    x = 2,026,676,820,996/931,024
  6. Step 6: Final answer
    x = 2,176,825.54

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.