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Finding the Third Proportional to 1,127,883,581 and 1,724,243,408

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Solution

The third proportional to 1,127,883,581 and 1,724,243,408 is: 2,635,923,937.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,127,883,581 : 1,724,243,408 = 1,724,243,408 : x
  2. Step 2: Convert to fraction form
    1,127,883,581/1,724,243,408 = 1,724,243,408/x
  3. Step 3: Cross multiply
    1,127,883,581x = 1,724,243,408 × 1,724,243,408
  4. Step 4: Simplify right side
    1,127,883,581x = 2,973,015,330,031,454,208
  5. Step 5: Solve for x
    x = 2,973,015,330,031,454,208/1,127,883,581
  6. Step 6: Final answer
    x = 2,635,923,937.64

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.