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Finding the Third Proportional to 517,098 and 1,078,476

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Solution

The third proportional to 517,098 and 1,078,476 is: 2,249,303.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,098 : 1,078,476 = 1,078,476 : x
  2. Step 2: Convert to fraction form
    517,098/1,078,476 = 1,078,476/x
  3. Step 3: Cross multiply
    517,098x = 1,078,476 × 1,078,476
  4. Step 4: Simplify right side
    517,098x = 1,163,110,482,576
  5. Step 5: Solve for x
    x = 1,163,110,482,576/517,098
  6. Step 6: Final answer
    x = 2,249,303.77

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.