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Finding the Third Proportional to 648,947,624 and 989,766,594

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Solution

The third proportional to 648,947,624 and 989,766,594 is: 1,509,579,316.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    648,947,624 : 989,766,594 = 989,766,594 : x
  2. Step 2: Convert to fraction form
    648,947,624/989,766,594 = 989,766,594/x
  3. Step 3: Cross multiply
    648,947,624x = 989,766,594 × 989,766,594
  4. Step 4: Simplify right side
    648,947,624x = 979,637,910,598,360,832
  5. Step 5: Solve for x
    x = 979,637,910,598,360,832/648,947,624
  6. Step 6: Final answer
    x = 1,509,579,316.37

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.