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Finding the Third Proportional to 1,354,398.75 and 2,820,895.88

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Solution

The third proportional to 1,354,398.75 and 2,820,895.88 is: 5,875,266.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,354,398.75 : 2,820,895.88 = 2,820,895.88 : x
  2. Step 2: Convert to fraction form
    1,354,398.75/2,820,895.88 = 2,820,895.88/x
  3. Step 3: Cross multiply
    1,354,398.75x = 2,820,895.88 × 2,820,895.88
  4. Step 4: Simplify right side
    1,354,398.75x = 7,957,453,537,592.02
  5. Step 5: Solve for x
    x = 7,957,453,537,592.02/1,354,398.75
  6. Step 6: Final answer
    x = 5,875,266.45

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.