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Finding the Third Proportional to 706,278 and 1,569,476

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Solution

The third proportional to 706,278 and 1,569,476 is: 3,487,656.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,278 : 1,569,476 = 1,569,476 : x
  2. Step 2: Convert to fraction form
    706,278/1,569,476 = 1,569,476/x
  3. Step 3: Cross multiply
    706,278x = 1,569,476 × 1,569,476
  4. Step 4: Simplify right side
    706,278x = 2,463,254,914,576
  5. Step 5: Solve for x
    x = 2,463,254,914,576/706,278
  6. Step 6: Final answer
    x = 3,487,656.30

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.