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Finding the Third Proportional to 432,686,124 and 1,020,384,990

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Solution

The third proportional to 432,686,124 and 1,020,384,990 is: 2,406,329,831.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,686,124 : 1,020,384,990 = 1,020,384,990 : x
  2. Step 2: Convert to fraction form
    432,686,124/1,020,384,990 = 1,020,384,990/x
  3. Step 3: Cross multiply
    432,686,124x = 1,020,384,990 × 1,020,384,990
  4. Step 4: Simplify right side
    432,686,124x = 1,041,185,527,817,300,096
  5. Step 5: Solve for x
    x = 1,041,185,527,817,300,096/432,686,124
  6. Step 6: Final answer
    x = 2,406,329,831.41

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.