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Finding the Third Proportional to 1,598,010 and 3,423,468

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Solution

The third proportional to 1,598,010 and 3,423,468 is: 7,334,205.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,598,010 : 3,423,468 = 3,423,468 : x
  2. Step 2: Convert to fraction form
    1,598,010/3,423,468 = 3,423,468/x
  3. Step 3: Cross multiply
    1,598,010x = 3,423,468 × 3,423,468
  4. Step 4: Simplify right side
    1,598,010x = 11,720,133,147,024
  5. Step 5: Solve for x
    x = 11,720,133,147,024/1,598,010
  6. Step 6: Final answer
    x = 7,334,205.13

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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.