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Finding the Third Proportional to 758,409 and 1,184,271

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Solution

The third proportional to 758,409 and 1,184,271 is: 1,849,263.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    758,409 : 1,184,271 = 1,184,271 : x
  2. Step 2: Convert to fraction form
    758,409/1,184,271 = 1,184,271/x
  3. Step 3: Cross multiply
    758,409x = 1,184,271 × 1,184,271
  4. Step 4: Simplify right side
    758,409x = 1,402,497,801,441
  5. Step 5: Solve for x
    x = 1,402,497,801,441/758,409
  6. Step 6: Final answer
    x = 1,849,263.13

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.