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Finding the Third Proportional to 402,501,186 and 601,345,101

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Solution

The third proportional to 402,501,186 and 601,345,101 is: 898,422,024.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,501,186 : 601,345,101 = 601,345,101 : x
  2. Step 2: Convert to fraction form
    402,501,186/601,345,101 = 601,345,101/x
  3. Step 3: Cross multiply
    402,501,186x = 601,345,101 × 601,345,101
  4. Step 4: Simplify right side
    402,501,186x = 361,615,930,496,700,224
  5. Step 5: Solve for x
    x = 361,615,930,496,700,224/402,501,186
  6. Step 6: Final answer
    x = 898,422,024.77

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.