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Finding the Third Proportional to 988,739,714 and 1,346,494,724

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Solution

The third proportional to 988,739,714 and 1,346,494,724 is: 1,833,695,982.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    988,739,714 : 1,346,494,724 = 1,346,494,724 : x
  2. Step 2: Convert to fraction form
    988,739,714/1,346,494,724 = 1,346,494,724/x
  3. Step 3: Cross multiply
    988,739,714x = 1,346,494,724 × 1,346,494,724
  4. Step 4: Simplify right side
    988,739,714x = 1,813,048,041,759,836,160
  5. Step 5: Solve for x
    x = 1,813,048,041,759,836,160/988,739,714
  6. Step 6: Final answer
    x = 1,833,695,982.97

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.