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Finding the Third Proportional to 822,690 and 1,249,908

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Solution

The third proportional to 822,690 and 1,249,908 is: 1,898,977.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    822,690 : 1,249,908 = 1,249,908 : x
  2. Step 2: Convert to fraction form
    822,690/1,249,908 = 1,249,908/x
  3. Step 3: Cross multiply
    822,690x = 1,249,908 × 1,249,908
  4. Step 4: Simplify right side
    822,690x = 1,562,270,008,464
  5. Step 5: Solve for x
    x = 1,562,270,008,464/822,690
  6. Step 6: Final answer
    x = 1,898,977.75

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.