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Finding the Third Proportional to 1,698,770 and 3,712,576

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Solution

The third proportional to 1,698,770 and 3,712,576 is: 8,113,647.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,698,770 : 3,712,576 = 3,712,576 : x
  2. Step 2: Convert to fraction form
    1,698,770/3,712,576 = 3,712,576/x
  3. Step 3: Cross multiply
    1,698,770x = 3,712,576 × 3,712,576
  4. Step 4: Simplify right side
    1,698,770x = 13,783,220,555,776
  5. Step 5: Solve for x
    x = 13,783,220,555,776/1,698,770
  6. Step 6: Final answer
    x = 8,113,647.26

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.