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Finding the Third Proportional to 710,964 and 1,521,990

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Solution

The third proportional to 710,964 and 1,521,990 is: 3,258,186.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    710,964 : 1,521,990 = 1,521,990 : x
  2. Step 2: Convert to fraction form
    710,964/1,521,990 = 1,521,990/x
  3. Step 3: Cross multiply
    710,964x = 1,521,990 × 1,521,990
  4. Step 4: Simplify right side
    710,964x = 2,316,453,560,100
  5. Step 5: Solve for x
    x = 2,316,453,560,100/710,964
  6. Step 6: Final answer
    x = 3,258,186.86

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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.