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Finding the Third Proportional to 964,566 and 2,118,303

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Solution

The third proportional to 964,566 and 2,118,303 is: 4,652,048.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    964,566 : 2,118,303 = 2,118,303 : x
  2. Step 2: Convert to fraction form
    964,566/2,118,303 = 2,118,303/x
  3. Step 3: Cross multiply
    964,566x = 2,118,303 × 2,118,303
  4. Step 4: Simplify right side
    964,566x = 4,487,207,599,809
  5. Step 5: Solve for x
    x = 4,487,207,599,809/964,566
  6. Step 6: Final answer
    x = 4,652,048.28

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.