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Finding the Third Proportional to 3,405,968 and 5,676,386

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Solution

The third proportional to 3,405,968 and 5,676,386 is: 9,460,264.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,405,968 : 5,676,386 = 5,676,386 : x
  2. Step 2: Convert to fraction form
    3,405,968/5,676,386 = 5,676,386/x
  3. Step 3: Cross multiply
    3,405,968x = 5,676,386 × 5,676,386
  4. Step 4: Simplify right side
    3,405,968x = 32,221,358,020,996
  5. Step 5: Solve for x
    x = 32,221,358,020,996/3,405,968
  6. Step 6: Final answer
    x = 9,460,264.46

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.