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Finding the Third Proportional to 935,496 and 1,411,704

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Solution

The third proportional to 935,496 and 1,411,704 is: 2,130,322.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    935,496 : 1,411,704 = 1,411,704 : x
  2. Step 2: Convert to fraction form
    935,496/1,411,704 = 1,411,704/x
  3. Step 3: Cross multiply
    935,496x = 1,411,704 × 1,411,704
  4. Step 4: Simplify right side
    935,496x = 1,992,908,183,616
  5. Step 5: Solve for x
    x = 1,992,908,183,616/935,496
  6. Step 6: Final answer
    x = 2,130,322.51

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.