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Finding the Third Proportional to 724,547,928 and 1,591,434,564

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Solution

The third proportional to 724,547,928 and 1,591,434,564 is: 3,495,509,232.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    724,547,928 : 1,591,434,564 = 1,591,434,564 : x
  2. Step 2: Convert to fraction form
    724,547,928/1,591,434,564 = 1,591,434,564/x
  3. Step 3: Cross multiply
    724,547,928x = 1,591,434,564 × 1,591,434,564
  4. Step 4: Simplify right side
    724,547,928x = 2,532,663,971,493,870,080
  5. Step 5: Solve for x
    x = 2,532,663,971,493,870,080/724,547,928
  6. Step 6: Final answer
    x = 3,495,509,232.20

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.