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Finding the Third Proportional to 1,862,854 and 2,803,509

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Solution

The third proportional to 1,862,854 and 2,803,509 is: 4,219,151.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,862,854 : 2,803,509 = 2,803,509 : x
  2. Step 2: Convert to fraction form
    1,862,854/2,803,509 = 2,803,509/x
  3. Step 3: Cross multiply
    1,862,854x = 2,803,509 × 2,803,509
  4. Step 4: Simplify right side
    1,862,854x = 7,859,662,713,081
  5. Step 5: Solve for x
    x = 7,859,662,713,081/1,862,854
  6. Step 6: Final answer
    x = 4,219,151.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.