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Finding the Third Proportional to 513,107,946 and 1,120,302,819

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Solution

The third proportional to 513,107,946 and 1,120,302,819 is: 2,446,031,904.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,107,946 : 1,120,302,819 = 1,120,302,819 : x
  2. Step 2: Convert to fraction form
    513,107,946/1,120,302,819 = 1,120,302,819/x
  3. Step 3: Cross multiply
    513,107,946x = 1,120,302,819 × 1,120,302,819
  4. Step 4: Simplify right side
    513,107,946x = 1,255,078,406,259,346,688
  5. Step 5: Solve for x
    x = 1,255,078,406,259,346,688/513,107,946
  6. Step 6: Final answer
    x = 2,446,031,904.29

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.