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Finding the Third Proportional to 717,312 and 1,514,496

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Solution

The third proportional to 717,312 and 1,514,496 is: 3,197,629.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    717,312 : 1,514,496 = 1,514,496 : x
  2. Step 2: Convert to fraction form
    717,312/1,514,496 = 1,514,496/x
  3. Step 3: Cross multiply
    717,312x = 1,514,496 × 1,514,496
  4. Step 4: Simplify right side
    717,312x = 2,293,698,134,016
  5. Step 5: Solve for x
    x = 2,293,698,134,016/717,312
  6. Step 6: Final answer
    x = 3,197,629.67

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.