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Finding the Third Proportional to 700,686,476 and 985,468,648

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Solution

The third proportional to 700,686,476 and 985,468,648 is: 1,385,995,719.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    700,686,476 : 985,468,648 = 985,468,648 : x
  2. Step 2: Convert to fraction form
    700,686,476/985,468,648 = 985,468,648/x
  3. Step 3: Cross multiply
    700,686,476x = 985,468,648 × 985,468,648
  4. Step 4: Simplify right side
    700,686,476x = 971,148,456,190,947,840
  5. Step 5: Solve for x
    x = 971,148,456,190,947,840/700,686,476
  6. Step 6: Final answer
    x = 1,385,995,719.13

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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.