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Finding the Third Proportional to 405,634,416 and 885,600,480

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Solution

The third proportional to 405,634,416 and 885,600,480 is: 1,933,485,373.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,634,416 : 885,600,480 = 885,600,480 : x
  2. Step 2: Convert to fraction form
    405,634,416/885,600,480 = 885,600,480/x
  3. Step 3: Cross multiply
    405,634,416x = 885,600,480 × 885,600,480
  4. Step 4: Simplify right side
    405,634,416x = 784,288,210,176,230,400
  5. Step 5: Solve for x
    x = 784,288,210,176,230,400/405,634,416
  6. Step 6: Final answer
    x = 1,933,485,373.14

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.