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Finding the Third Proportional to 403,746 and 849,312

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Solution

The third proportional to 403,746 and 849,312 is: 1,786,595.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,746 : 849,312 = 849,312 : x
  2. Step 2: Convert to fraction form
    403,746/849,312 = 849,312/x
  3. Step 3: Cross multiply
    403,746x = 849,312 × 849,312
  4. Step 4: Simplify right side
    403,746x = 721,330,873,344
  5. Step 5: Solve for x
    x = 721,330,873,344/403,746
  6. Step 6: Final answer
    x = 1,786,595.71

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.