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Finding the Third Proportional to 670,376 and 937,724

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Solution

The third proportional to 670,376 and 937,724 is: 1,311,691.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    670,376 : 937,724 = 937,724 : x
  2. Step 2: Convert to fraction form
    670,376/937,724 = 937,724/x
  3. Step 3: Cross multiply
    670,376x = 937,724 × 937,724
  4. Step 4: Simplify right side
    670,376x = 879,326,300,176
  5. Step 5: Solve for x
    x = 879,326,300,176/670,376
  6. Step 6: Final answer
    x = 1,311,691.20

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.