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Finding the Third Proportional to 1,357,940 and 2,827,417

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Solution

The third proportional to 1,357,940 and 2,827,417 is: 5,887,069.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,357,940 : 2,827,417 = 2,827,417 : x
  2. Step 2: Convert to fraction form
    1,357,940/2,827,417 = 2,827,417/x
  3. Step 3: Cross multiply
    1,357,940x = 2,827,417 × 2,827,417
  4. Step 4: Simplify right side
    1,357,940x = 7,994,286,891,889
  5. Step 5: Solve for x
    x = 7,994,286,891,889/1,357,940
  6. Step 6: Final answer
    x = 5,887,069.30

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