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Finding the Third Proportional to 371,886 and 812,892

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Solution

The third proportional to 371,886 and 812,892 is: 1,776,870.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,886 : 812,892 = 812,892 : x
  2. Step 2: Convert to fraction form
    371,886/812,892 = 812,892/x
  3. Step 3: Cross multiply
    371,886x = 812,892 × 812,892
  4. Step 4: Simplify right side
    371,886x = 660,793,403,664
  5. Step 5: Solve for x
    x = 660,793,403,664/371,886
  6. Step 6: Final answer
    x = 1,776,870.88

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.