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Finding the Third Proportional to 909,733,217 and 1,330,482,565

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Solution

The third proportional to 909,733,217 and 1,330,482,565 is: 1,945,827,438.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    909,733,217 : 1,330,482,565 = 1,330,482,565 : x
  2. Step 2: Convert to fraction form
    909,733,217/1,330,482,565 = 1,330,482,565/x
  3. Step 3: Cross multiply
    909,733,217x = 1,330,482,565 × 1,330,482,565
  4. Step 4: Simplify right side
    909,733,217x = 1,770,183,855,768,979,200
  5. Step 5: Solve for x
    x = 1,770,183,855,768,979,200/909,733,217
  6. Step 6: Final answer
    x = 1,945,827,438.96

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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.