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Finding the Third Proportional to 702,984 and 1,064,336

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Solution

The third proportional to 702,984 and 1,064,336 is: 1,611,432.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,984 : 1,064,336 = 1,064,336 : x
  2. Step 2: Convert to fraction form
    702,984/1,064,336 = 1,064,336/x
  3. Step 3: Cross multiply
    702,984x = 1,064,336 × 1,064,336
  4. Step 4: Simplify right side
    702,984x = 1,132,811,120,896
  5. Step 5: Solve for x
    x = 1,132,811,120,896/702,984
  6. Step 6: Final answer
    x = 1,611,432.30

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.