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Finding the Third Proportional to 1,264,632 and 1,849,617

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Solution

The third proportional to 1,264,632 and 1,849,617 is: 2,705,200.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,264,632 : 1,849,617 = 1,849,617 : x
  2. Step 2: Convert to fraction form
    1,264,632/1,849,617 = 1,849,617/x
  3. Step 3: Cross multiply
    1,264,632x = 1,849,617 × 1,849,617
  4. Step 4: Simplify right side
    1,264,632x = 3,421,083,046,689
  5. Step 5: Solve for x
    x = 3,421,083,046,689/1,264,632
  6. Step 6: Final answer
    x = 2,705,200.44

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.