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Finding the Third Proportional to 697,862 and 1,533,354

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Solution

The third proportional to 697,862 and 1,533,354 is: 3,369,110.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    697,862 : 1,533,354 = 1,533,354 : x
  2. Step 2: Convert to fraction form
    697,862/1,533,354 = 1,533,354/x
  3. Step 3: Cross multiply
    697,862x = 1,533,354 × 1,533,354
  4. Step 4: Simplify right side
    697,862x = 2,351,174,489,316
  5. Step 5: Solve for x
    x = 2,351,174,489,316/697,862
  6. Step 6: Final answer
    x = 3,369,110.93

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.