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Finding the Third Proportional to 806,832 and 1,249,260

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Solution

The third proportional to 806,832 and 1,249,260 is: 1,934,294.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    806,832 : 1,249,260 = 1,249,260 : x
  2. Step 2: Convert to fraction form
    806,832/1,249,260 = 1,249,260/x
  3. Step 3: Cross multiply
    806,832x = 1,249,260 × 1,249,260
  4. Step 4: Simplify right side
    806,832x = 1,560,650,547,600
  5. Step 5: Solve for x
    x = 1,560,650,547,600/806,832
  6. Step 6: Final answer
    x = 1,934,294.31

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.