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Finding the Third Proportional to 594,228,981 and 1,303,249,266

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Solution

The third proportional to 594,228,981 and 1,303,249,266 is: 2,858,256,166.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    594,228,981 : 1,303,249,266 = 1,303,249,266 : x
  2. Step 2: Convert to fraction form
    594,228,981/1,303,249,266 = 1,303,249,266/x
  3. Step 3: Cross multiply
    594,228,981x = 1,303,249,266 × 1,303,249,266
  4. Step 4: Simplify right side
    594,228,981x = 1,698,458,649,329,538,816
  5. Step 5: Solve for x
    x = 1,698,458,649,329,538,816/594,228,981
  6. Step 6: Final answer
    x = 2,858,256,166.62

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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.