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Finding the Third Proportional to 984,688,263 and 1,559,228,928

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Solution

The third proportional to 984,688,263 and 1,559,228,928 is: 2,468,999,521.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    984,688,263 : 1,559,228,928 = 1,559,228,928 : x
  2. Step 2: Convert to fraction form
    984,688,263/1,559,228,928 = 1,559,228,928/x
  3. Step 3: Cross multiply
    984,688,263x = 1,559,228,928 × 1,559,228,928
  4. Step 4: Simplify right side
    984,688,263x = 2,431,194,849,912,029,184
  5. Step 5: Solve for x
    x = 2,431,194,849,912,029,184/984,688,263
  6. Step 6: Final answer
    x = 2,468,999,521.23

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.