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Finding the Third Proportional to 500,780,886 and 1,070,478,435

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Solution

The third proportional to 500,780,886 and 1,070,478,435 is: 2,288,274,396.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,780,886 : 1,070,478,435 = 1,070,478,435 : x
  2. Step 2: Convert to fraction form
    500,780,886/1,070,478,435 = 1,070,478,435/x
  3. Step 3: Cross multiply
    500,780,886x = 1,070,478,435 × 1,070,478,435
  4. Step 4: Simplify right side
    500,780,886x = 1,145,924,079,800,049,280
  5. Step 5: Solve for x
    x = 1,145,924,079,800,049,280/500,780,886
  6. Step 6: Final answer
    x = 2,288,274,396.72

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.