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Finding the Third Proportional to 897,447,394 and 1,378,589,043

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Solution

The third proportional to 897,447,394 and 1,378,589,043 is: 2,117,681,506.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    897,447,394 : 1,378,589,043 = 1,378,589,043 : x
  2. Step 2: Convert to fraction form
    897,447,394/1,378,589,043 = 1,378,589,043/x
  3. Step 3: Cross multiply
    897,447,394x = 1,378,589,043 × 1,378,589,043
  4. Step 4: Simplify right side
    897,447,394x = 1,900,507,749,479,655,936
  5. Step 5: Solve for x
    x = 1,900,507,749,479,655,936/897,447,394
  6. Step 6: Final answer
    x = 2,117,681,506.67

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.