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Finding the Third Proportional to 691,323,984 and 1,010,739,828

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Solution

The third proportional to 691,323,984 and 1,010,739,828 is: 1,477,736,956.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    691,323,984 : 1,010,739,828 = 1,010,739,828 : x
  2. Step 2: Convert to fraction form
    691,323,984/1,010,739,828 = 1,010,739,828/x
  3. Step 3: Cross multiply
    691,323,984x = 1,010,739,828 × 1,010,739,828
  4. Step 4: Simplify right side
    691,323,984x = 1,021,594,999,905,469,568
  5. Step 5: Solve for x
    x = 1,021,594,999,905,469,568/691,323,984
  6. Step 6: Final answer
    x = 1,477,736,956.26

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.