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Finding the Third Proportional to 964,278 and 2,073,681

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Solution

The third proportional to 964,278 and 2,073,681 is: 4,459,453.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    964,278 : 2,073,681 = 2,073,681 : x
  2. Step 2: Convert to fraction form
    964,278/2,073,681 = 2,073,681/x
  3. Step 3: Cross multiply
    964,278x = 2,073,681 × 2,073,681
  4. Step 4: Simplify right side
    964,278x = 4,300,152,889,761
  5. Step 5: Solve for x
    x = 4,300,152,889,761/964,278
  6. Step 6: Final answer
    x = 4,459,453.49

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.