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Finding the Third Proportional to 688,870 and 1,459,688

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Solution

The third proportional to 688,870 and 1,459,688 is: 3,093,020.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    688,870 : 1,459,688 = 1,459,688 : x
  2. Step 2: Convert to fraction form
    688,870/1,459,688 = 1,459,688/x
  3. Step 3: Cross multiply
    688,870x = 1,459,688 × 1,459,688
  4. Step 4: Simplify right side
    688,870x = 2,130,689,057,344
  5. Step 5: Solve for x
    x = 2,130,689,057,344/688,870
  6. Step 6: Final answer
    x = 3,093,020.54

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.