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Finding the Third Proportional to 683,865 and 1,583,157

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Solution

The third proportional to 683,865 and 1,583,157 is: 3,665,030.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    683,865 : 1,583,157 = 1,583,157 : x
  2. Step 2: Convert to fraction form
    683,865/1,583,157 = 1,583,157/x
  3. Step 3: Cross multiply
    683,865x = 1,583,157 × 1,583,157
  4. Step 4: Simplify right side
    683,865x = 2,506,386,086,649
  5. Step 5: Solve for x
    x = 2,506,386,086,649/683,865
  6. Step 6: Final answer
    x = 3,665,030.51

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.