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Finding the Third Proportional to 828,897 and 1,216,143

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Solution

The third proportional to 828,897 and 1,216,143 is: 1,784,303.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    828,897 : 1,216,143 = 1,216,143 : x
  2. Step 2: Convert to fraction form
    828,897/1,216,143 = 1,216,143/x
  3. Step 3: Cross multiply
    828,897x = 1,216,143 × 1,216,143
  4. Step 4: Simplify right side
    828,897x = 1,479,003,796,449
  5. Step 5: Solve for x
    x = 1,479,003,796,449/828,897
  6. Step 6: Final answer
    x = 1,784,303.47

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.