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Finding the Third Proportional to 698,838 and 1,497,396

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Solution

The third proportional to 698,838 and 1,497,396 is: 3,208,461.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    698,838 : 1,497,396 = 1,497,396 : x
  2. Step 2: Convert to fraction form
    698,838/1,497,396 = 1,497,396/x
  3. Step 3: Cross multiply
    698,838x = 1,497,396 × 1,497,396
  4. Step 4: Simplify right side
    698,838x = 2,242,194,780,816
  5. Step 5: Solve for x
    x = 2,242,194,780,816/698,838
  6. Step 6: Final answer
    x = 3,208,461.45

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.