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Finding the Third Proportional to 586,720,224 and 1,243,379,520

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Solution

The third proportional to 586,720,224 and 1,243,379,520 is: 2,634,974,162.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,720,224 : 1,243,379,520 = 1,243,379,520 : x
  2. Step 2: Convert to fraction form
    586,720,224/1,243,379,520 = 1,243,379,520/x
  3. Step 3: Cross multiply
    586,720,224x = 1,243,379,520 × 1,243,379,520
  4. Step 4: Simplify right side
    586,720,224x = 1,545,992,630,755,430,400
  5. Step 5: Solve for x
    x = 1,545,992,630,755,430,400/586,720,224
  6. Step 6: Final answer
    x = 2,634,974,162.33

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.