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Finding the Third Proportional to 803,270 and 1,738,784

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Solution

The third proportional to 803,270 and 1,738,784 is: 3,763,827.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    803,270 : 1,738,784 = 1,738,784 : x
  2. Step 2: Convert to fraction form
    803,270/1,738,784 = 1,738,784/x
  3. Step 3: Cross multiply
    803,270x = 1,738,784 × 1,738,784
  4. Step 4: Simplify right side
    803,270x = 3,023,369,798,656
  5. Step 5: Solve for x
    x = 3,023,369,798,656/803,270
  6. Step 6: Final answer
    x = 3,763,827.60

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.