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Finding the Third Proportional to 1,225,724,506 and 1,719,934,125

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Solution

The third proportional to 1,225,724,506 and 1,719,934,125 is: 2,413,408,053.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,225,724,506 : 1,719,934,125 = 1,719,934,125 : x
  2. Step 2: Convert to fraction form
    1,225,724,506/1,719,934,125 = 1,719,934,125/x
  3. Step 3: Cross multiply
    1,225,724,506x = 1,719,934,125 × 1,719,934,125
  4. Step 4: Simplify right side
    1,225,724,506x = 2,958,173,394,339,515,392
  5. Step 5: Solve for x
    x = 2,958,173,394,339,515,392/1,225,724,506
  6. Step 6: Final answer
    x = 2,413,408,053.65

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.