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Finding the Third Proportional to 387,612,709 and 595,788,762

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Solution

The third proportional to 387,612,709 and 595,788,762 is: 915,770,408.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,612,709 : 595,788,762 = 595,788,762 : x
  2. Step 2: Convert to fraction form
    387,612,709/595,788,762 = 595,788,762/x
  3. Step 3: Cross multiply
    387,612,709x = 595,788,762 × 595,788,762
  4. Step 4: Simplify right side
    387,612,709x = 354,964,248,925,492,672
  5. Step 5: Solve for x
    x = 354,964,248,925,492,672/387,612,709
  6. Step 6: Final answer
    x = 915,770,408.67

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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.