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Finding the Third Proportional to 895,464 and 1,351,820

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Solution

The third proportional to 895,464 and 1,351,820 is: 2,040,749.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    895,464 : 1,351,820 = 1,351,820 : x
  2. Step 2: Convert to fraction form
    895,464/1,351,820 = 1,351,820/x
  3. Step 3: Cross multiply
    895,464x = 1,351,820 × 1,351,820
  4. Step 4: Simplify right side
    895,464x = 1,827,417,312,400
  5. Step 5: Solve for x
    x = 1,827,417,312,400/895,464
  6. Step 6: Final answer
    x = 2,040,749.06

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.