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Finding the Third Proportional to 870,291 and 1,267,564

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Solution

The third proportional to 870,291 and 1,267,564 is: 1,846,185.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    870,291 : 1,267,564 = 1,267,564 : x
  2. Step 2: Convert to fraction form
    870,291/1,267,564 = 1,267,564/x
  3. Step 3: Cross multiply
    870,291x = 1,267,564 × 1,267,564
  4. Step 4: Simplify right side
    870,291x = 1,606,718,494,096
  5. Step 5: Solve for x
    x = 1,606,718,494,096/870,291
  6. Step 6: Final answer
    x = 1,846,185.35

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