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Finding the Third Proportional to 702,972 and 1,064,318

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Solution

The third proportional to 702,972 and 1,064,318 is: 1,611,405.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,972 : 1,064,318 = 1,064,318 : x
  2. Step 2: Convert to fraction form
    702,972/1,064,318 = 1,064,318/x
  3. Step 3: Cross multiply
    702,972x = 1,064,318 × 1,064,318
  4. Step 4: Simplify right side
    702,972x = 1,132,772,805,124
  5. Step 5: Solve for x
    x = 1,132,772,805,124/702,972
  6. Step 6: Final answer
    x = 1,611,405.30

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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.