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Finding the Third Proportional to 803,392 and 1,746,800

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Solution

The third proportional to 803,392 and 1,746,800 is: 3,798,034.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    803,392 : 1,746,800 = 1,746,800 : x
  2. Step 2: Convert to fraction form
    803,392/1,746,800 = 1,746,800/x
  3. Step 3: Cross multiply
    803,392x = 1,746,800 × 1,746,800
  4. Step 4: Simplify right side
    803,392x = 3,051,310,240,000
  5. Step 5: Solve for x
    x = 3,051,310,240,000/803,392
  6. Step 6: Final answer
    x = 3,798,034.14

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.