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Finding the Third Proportional to 1,395,421 and 3,013,897

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Solution

The third proportional to 1,395,421 and 3,013,897 is: 6,509,558.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,395,421 : 3,013,897 = 3,013,897 : x
  2. Step 2: Convert to fraction form
    1,395,421/3,013,897 = 3,013,897/x
  3. Step 3: Cross multiply
    1,395,421x = 3,013,897 × 3,013,897
  4. Step 4: Simplify right side
    1,395,421x = 9,083,575,126,609
  5. Step 5: Solve for x
    x = 9,083,575,126,609/1,395,421
  6. Step 6: Final answer
    x = 6,509,558.85

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.