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Finding the Third Proportional to 248,249,831 and 522,226,573

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Solution

The third proportional to 248,249,831 and 522,226,573 is: 1,098,573,128.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,249,831 : 522,226,573 = 522,226,573 : x
  2. Step 2: Convert to fraction form
    248,249,831/522,226,573 = 522,226,573/x
  3. Step 3: Cross multiply
    248,249,831x = 522,226,573 × 522,226,573
  4. Step 4: Simplify right side
    248,249,831x = 272,720,593,547,324,320
  5. Step 5: Solve for x
    x = 272,720,593,547,324,320/248,249,831
  6. Step 6: Final answer
    x = 1,098,573,128.73

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.