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Finding the Third Proportional to 594,228,720 and 1,303,248,572

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Solution

The third proportional to 594,228,720 and 1,303,248,572 is: 2,858,254,377.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    594,228,720 : 1,303,248,572 = 1,303,248,572 : x
  2. Step 2: Convert to fraction form
    594,228,720/1,303,248,572 = 1,303,248,572/x
  3. Step 3: Cross multiply
    594,228,720x = 1,303,248,572 × 1,303,248,572
  4. Step 4: Simplify right side
    594,228,720x = 1,698,456,840,420,039,168
  5. Step 5: Solve for x
    x = 1,698,456,840,420,039,168/594,228,720
  6. Step 6: Final answer
    x = 2,858,254,377.91

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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.