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Finding the Third Proportional to 712,621 and 1,484,210

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Solution

The third proportional to 712,621 and 1,484,210 is: 3,091,235.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    712,621 : 1,484,210 = 1,484,210 : x
  2. Step 2: Convert to fraction form
    712,621/1,484,210 = 1,484,210/x
  3. Step 3: Cross multiply
    712,621x = 1,484,210 × 1,484,210
  4. Step 4: Simplify right side
    712,621x = 2,202,879,324,100
  5. Step 5: Solve for x
    x = 2,202,879,324,100/712,621
  6. Step 6: Final answer
    x = 3,091,235.49

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.