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Finding the Third Proportional to 1,658,140 and 2,560,490

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Solution

The third proportional to 1,658,140 and 2,560,490 is: 3,953,893.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,658,140 : 2,560,490 = 2,560,490 : x
  2. Step 2: Convert to fraction form
    1,658,140/2,560,490 = 2,560,490/x
  3. Step 3: Cross multiply
    1,658,140x = 2,560,490 × 2,560,490
  4. Step 4: Simplify right side
    1,658,140x = 6,556,109,040,100
  5. Step 5: Solve for x
    x = 6,556,109,040,100/1,658,140
  6. Step 6: Final answer
    x = 3,953,893.54

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.