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Finding the Third Proportional to 1,584,306 and 3,421,134

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Solution

The third proportional to 1,584,306 and 3,421,134 is: 7,387,561.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,584,306 : 3,421,134 = 3,421,134 : x
  2. Step 2: Convert to fraction form
    1,584,306/3,421,134 = 3,421,134/x
  3. Step 3: Cross multiply
    1,584,306x = 3,421,134 × 3,421,134
  4. Step 4: Simplify right side
    1,584,306x = 11,704,157,845,956
  5. Step 5: Solve for x
    x = 11,704,157,845,956/1,584,306
  6. Step 6: Final answer
    x = 7,387,561.40

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.