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Finding the Third Proportional to 811,460 and 1,762,888

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Solution

The third proportional to 811,460 and 1,762,888 is: 3,829,854.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    811,460 : 1,762,888 = 1,762,888 : x
  2. Step 2: Convert to fraction form
    811,460/1,762,888 = 1,762,888/x
  3. Step 3: Cross multiply
    811,460x = 1,762,888 × 1,762,888
  4. Step 4: Simplify right side
    811,460x = 3,107,774,100,544
  5. Step 5: Solve for x
    x = 3,107,774,100,544/811,460
  6. Step 6: Final answer
    x = 3,829,854.95

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.