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Finding the Third Proportional to 738,213,604 and 1,742,622,806

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Solution

The third proportional to 738,213,604 and 1,742,622,806 is: 4,113,625,416.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    738,213,604 : 1,742,622,806 = 1,742,622,806 : x
  2. Step 2: Convert to fraction form
    738,213,604/1,742,622,806 = 1,742,622,806/x
  3. Step 3: Cross multiply
    738,213,604x = 1,742,622,806 × 1,742,622,806
  4. Step 4: Simplify right side
    738,213,604x = 3,036,734,243,991,313,408
  5. Step 5: Solve for x
    x = 3,036,734,243,991,313,408/738,213,604
  6. Step 6: Final answer
    x = 4,113,625,416.19

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.