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Finding the Third Proportional to 4,702,394 and 7,035,357

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Solution

The third proportional to 4,702,394 and 7,035,357 is: 10,525,755.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,702,394 : 7,035,357 = 7,035,357 : x
  2. Step 2: Convert to fraction form
    4,702,394/7,035,357 = 7,035,357/x
  3. Step 3: Cross multiply
    4,702,394x = 7,035,357 × 7,035,357
  4. Step 4: Simplify right side
    4,702,394x = 49,496,248,117,449
  5. Step 5: Solve for x
    x = 49,496,248,117,449/4,702,394
  6. Step 6: Final answer
    x = 10,525,755.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.