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Finding the Third Proportional to 594,228,706 and 1,303,248,546

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Solution

The third proportional to 594,228,706 and 1,303,248,546 is: 2,858,254,331.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    594,228,706 : 1,303,248,546 = 1,303,248,546 : x
  2. Step 2: Convert to fraction form
    594,228,706/1,303,248,546 = 1,303,248,546/x
  3. Step 3: Cross multiply
    594,228,706x = 1,303,248,546 × 1,303,248,546
  4. Step 4: Simplify right side
    594,228,706x = 1,698,456,772,651,114,240
  5. Step 5: Solve for x
    x = 1,698,456,772,651,114,240/594,228,706
  6. Step 6: Final answer
    x = 2,858,254,331.21

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.