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Finding the Third Proportional to 689,094,594 and 1,034,145,873

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Solution

The third proportional to 689,094,594 and 1,034,145,873 is: 1,551,975,151.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    689,094,594 : 1,034,145,873 = 1,034,145,873 : x
  2. Step 2: Convert to fraction form
    689,094,594/1,034,145,873 = 1,034,145,873/x
  3. Step 3: Cross multiply
    689,094,594x = 1,034,145,873 × 1,034,145,873
  4. Step 4: Simplify right side
    689,094,594x = 1,069,457,686,642,932,096
  5. Step 5: Solve for x
    x = 1,069,457,686,642,932,096/689,094,594
  6. Step 6: Final answer
    x = 1,551,975,151.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.