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Finding the Third Proportional to 691,323,811 and 1,010,739,576

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Solution

The third proportional to 691,323,811 and 1,010,739,576 is: 1,477,736,589.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    691,323,811 : 1,010,739,576 = 1,010,739,576 : x
  2. Step 2: Convert to fraction form
    691,323,811/1,010,739,576 = 1,010,739,576/x
  3. Step 3: Cross multiply
    691,323,811x = 1,010,739,576 × 1,010,739,576
  4. Step 4: Simplify right side
    691,323,811x = 1,021,594,490,492,659,712
  5. Step 5: Solve for x
    x = 1,021,594,490,492,659,712/691,323,811
  6. Step 6: Final answer
    x = 1,477,736,589.19

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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.