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Finding the Third Proportional to 700,556,922 and 985,420,748

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Solution

The third proportional to 700,556,922 and 985,420,748 is: 1,386,117,273.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    700,556,922 : 985,420,748 = 985,420,748 : x
  2. Step 2: Convert to fraction form
    700,556,922/985,420,748 = 985,420,748/x
  3. Step 3: Cross multiply
    700,556,922x = 985,420,748 × 985,420,748
  4. Step 4: Simplify right side
    700,556,922x = 971,054,050,588,879,488
  5. Step 5: Solve for x
    x = 971,054,050,588,879,488/700,556,922
  6. Step 6: Final answer
    x = 1,386,117,273.41

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.