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Finding the Third Proportional to 698,610 and 1,426,532

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Solution

The third proportional to 698,610 and 1,426,532 is: 2,912,917.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    698,610 : 1,426,532 = 1,426,532 : x
  2. Step 2: Convert to fraction form
    698,610/1,426,532 = 1,426,532/x
  3. Step 3: Cross multiply
    698,610x = 1,426,532 × 1,426,532
  4. Step 4: Simplify right side
    698,610x = 2,034,993,547,024
  5. Step 5: Solve for x
    x = 2,034,993,547,024/698,610
  6. Step 6: Final answer
    x = 2,912,917.86

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.