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Finding the Third Proportional to 423,220,842 and 653,701,914

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Solution

The third proportional to 423,220,842 and 653,701,914 is: 1,009,700,255.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,220,842 : 653,701,914 = 653,701,914 : x
  2. Step 2: Convert to fraction form
    423,220,842/653,701,914 = 653,701,914/x
  3. Step 3: Cross multiply
    423,220,842x = 653,701,914 × 653,701,914
  4. Step 4: Simplify right side
    423,220,842x = 427,326,192,367,263,424
  5. Step 5: Solve for x
    x = 427,326,192,367,263,424/423,220,842
  6. Step 6: Final answer
    x = 1,009,700,255.66

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.