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Finding the Third Proportional to 691,323,969 and 1,010,739,807

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Solution

The third proportional to 691,323,969 and 1,010,739,807 is: 1,477,736,926.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    691,323,969 : 1,010,739,807 = 1,010,739,807 : x
  2. Step 2: Convert to fraction form
    691,323,969/1,010,739,807 = 1,010,739,807/x
  3. Step 3: Cross multiply
    691,323,969x = 1,010,739,807 × 1,010,739,807
  4. Step 4: Simplify right side
    691,323,969x = 1,021,594,957,454,397,312
  5. Step 5: Solve for x
    x = 1,021,594,957,454,397,312/691,323,969
  6. Step 6: Final answer
    x = 1,477,736,926.92

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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.