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Finding the Third Proportional to 847,306 and 1,308,543

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Solution

The third proportional to 847,306 and 1,308,543 is: 2,020,857.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    847,306 : 1,308,543 = 1,308,543 : x
  2. Step 2: Convert to fraction form
    847,306/1,308,543 = 1,308,543/x
  3. Step 3: Cross multiply
    847,306x = 1,308,543 × 1,308,543
  4. Step 4: Simplify right side
    847,306x = 1,712,284,782,849
  5. Step 5: Solve for x
    x = 1,712,284,782,849/847,306
  6. Step 6: Final answer
    x = 2,020,857.62

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.