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Finding the Third Proportional to 739,807 and 1,616,594

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Solution

The third proportional to 739,807 and 1,616,594 is: 3,532,510.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    739,807 : 1,616,594 = 1,616,594 : x
  2. Step 2: Convert to fraction form
    739,807/1,616,594 = 1,616,594/x
  3. Step 3: Cross multiply
    739,807x = 1,616,594 × 1,616,594
  4. Step 4: Simplify right side
    739,807x = 2,613,376,160,836
  5. Step 5: Solve for x
    x = 2,613,376,160,836/739,807
  6. Step 6: Final answer
    x = 3,532,510.72

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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.