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Finding the Third Proportional to 787,594 and 1,683,142

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Solution

The third proportional to 787,594 and 1,683,142 is: 3,596,989.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    787,594 : 1,683,142 = 1,683,142 : x
  2. Step 2: Convert to fraction form
    787,594/1,683,142 = 1,683,142/x
  3. Step 3: Cross multiply
    787,594x = 1,683,142 × 1,683,142
  4. Step 4: Simplify right side
    787,594x = 2,832,966,992,164
  5. Step 5: Solve for x
    x = 2,832,966,992,164/787,594
  6. Step 6: Final answer
    x = 3,596,989.05

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.