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Finding the Third Proportional to 685,870 and 1,018,870

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Solution

The third proportional to 685,870 and 1,018,870 is: 1,513,546.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    685,870 : 1,018,870 = 1,018,870 : x
  2. Step 2: Convert to fraction form
    685,870/1,018,870 = 1,018,870/x
  3. Step 3: Cross multiply
    685,870x = 1,018,870 × 1,018,870
  4. Step 4: Simplify right side
    685,870x = 1,038,096,076,900
  5. Step 5: Solve for x
    x = 1,038,096,076,900/685,870
  6. Step 6: Final answer
    x = 1,513,546.41

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.