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Finding the Third Proportional to 716,482 and 1,045,190

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Solution

The third proportional to 716,482 and 1,045,190 is: 1,524,702.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    716,482 : 1,045,190 = 1,045,190 : x
  2. Step 2: Convert to fraction form
    716,482/1,045,190 = 1,045,190/x
  3. Step 3: Cross multiply
    716,482x = 1,045,190 × 1,045,190
  4. Step 4: Simplify right side
    716,482x = 1,092,422,136,100
  5. Step 5: Solve for x
    x = 1,092,422,136,100/716,482
  6. Step 6: Final answer
    x = 1,524,702.83

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.