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Finding the Third Proportional to 1,376,680 and 2,952,646

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Solution

The third proportional to 1,376,680 and 2,952,646 is: 6,332,712.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,376,680 : 2,952,646 = 2,952,646 : x
  2. Step 2: Convert to fraction form
    1,376,680/2,952,646 = 2,952,646/x
  3. Step 3: Cross multiply
    1,376,680x = 2,952,646 × 2,952,646
  4. Step 4: Simplify right side
    1,376,680x = 8,718,118,401,316
  5. Step 5: Solve for x
    x = 8,718,118,401,316/1,376,680
  6. Step 6: Final answer
    x = 6,332,712.32

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.