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Finding the Third Proportional to 410,001,816 and 660,237,948

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Solution

The third proportional to 410,001,816 and 660,237,948 is: 1,063,200,529.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,001,816 : 660,237,948 = 660,237,948 : x
  2. Step 2: Convert to fraction form
    410,001,816/660,237,948 = 660,237,948/x
  3. Step 3: Cross multiply
    410,001,816x = 660,237,948 × 660,237,948
  4. Step 4: Simplify right side
    410,001,816x = 435,914,147,979,250,688
  5. Step 5: Solve for x
    x = 435,914,147,979,250,688/410,001,816
  6. Step 6: Final answer
    x = 1,063,200,529.77

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.