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Finding the Third Proportional to 805,484,640 and 1,242,716,208

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Solution

The third proportional to 805,484,640 and 1,242,716,208 is: 1,917,284,944.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    805,484,640 : 1,242,716,208 = 1,242,716,208 : x
  2. Step 2: Convert to fraction form
    805,484,640/1,242,716,208 = 1,242,716,208/x
  3. Step 3: Cross multiply
    805,484,640x = 1,242,716,208 × 1,242,716,208
  4. Step 4: Simplify right side
    805,484,640x = 1,544,343,573,625,899,264
  5. Step 5: Solve for x
    x = 1,544,343,573,625,899,264/805,484,640
  6. Step 6: Final answer
    x = 1,917,284,944.91

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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.