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Finding the Third Proportional to 688,020 and 1,459,632

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Solution

The third proportional to 688,020 and 1,459,632 is: 3,096,604.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    688,020 : 1,459,632 = 1,459,632 : x
  2. Step 2: Convert to fraction form
    688,020/1,459,632 = 1,459,632/x
  3. Step 3: Cross multiply
    688,020x = 1,459,632 × 1,459,632
  4. Step 4: Simplify right side
    688,020x = 2,130,525,575,424
  5. Step 5: Solve for x
    x = 2,130,525,575,424/688,020
  6. Step 6: Final answer
    x = 3,096,604.13

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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.