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Finding the Third Proportional to 782,056 and 1,209,024

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Solution

The third proportional to 782,056 and 1,209,024 is: 1,869,097.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    782,056 : 1,209,024 = 1,209,024 : x
  2. Step 2: Convert to fraction form
    782,056/1,209,024 = 1,209,024/x
  3. Step 3: Cross multiply
    782,056x = 1,209,024 × 1,209,024
  4. Step 4: Simplify right side
    782,056x = 1,461,739,032,576
  5. Step 5: Solve for x
    x = 1,461,739,032,576/782,056
  6. Step 6: Final answer
    x = 1,869,097.65

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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.