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Finding the Third Proportional to 710,242 and 1,525,890

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Solution

The third proportional to 710,242 and 1,525,890 is: 3,278,235.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    710,242 : 1,525,890 = 1,525,890 : x
  2. Step 2: Convert to fraction form
    710,242/1,525,890 = 1,525,890/x
  3. Step 3: Cross multiply
    710,242x = 1,525,890 × 1,525,890
  4. Step 4: Simplify right side
    710,242x = 2,328,340,292,100
  5. Step 5: Solve for x
    x = 2,328,340,292,100/710,242
  6. Step 6: Final answer
    x = 3,278,235.15

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.