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Finding the Third Proportional to 977,376 and 1,376,352

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Solution

The third proportional to 977,376 and 1,376,352 is: 1,938,194.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    977,376 : 1,376,352 = 1,376,352 : x
  2. Step 2: Convert to fraction form
    977,376/1,376,352 = 1,376,352/x
  3. Step 3: Cross multiply
    977,376x = 1,376,352 × 1,376,352
  4. Step 4: Simplify right side
    977,376x = 1,894,344,827,904
  5. Step 5: Solve for x
    x = 1,894,344,827,904/977,376
  6. Step 6: Final answer
    x = 1,938,194.54

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.