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Finding the Third Proportional to 710,433 and 1,521,954

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Solution

The third proportional to 710,433 and 1,521,954 is: 3,260,467.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    710,433 : 1,521,954 = 1,521,954 : x
  2. Step 2: Convert to fraction form
    710,433/1,521,954 = 1,521,954/x
  3. Step 3: Cross multiply
    710,433x = 1,521,954 × 1,521,954
  4. Step 4: Simplify right side
    710,433x = 2,316,343,978,116
  5. Step 5: Solve for x
    x = 2,316,343,978,116/710,433
  6. Step 6: Final answer
    x = 3,260,467.88

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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.