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Finding the Third Proportional to 248,249,829 and 522,226,569

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Solution

The third proportional to 248,249,829 and 522,226,569 is: 1,098,573,120.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,249,829 : 522,226,569 = 522,226,569 : x
  2. Step 2: Convert to fraction form
    248,249,829/522,226,569 = 522,226,569/x
  3. Step 3: Cross multiply
    248,249,829x = 522,226,569 × 522,226,569
  4. Step 4: Simplify right side
    248,249,829x = 272,720,589,369,511,776
  5. Step 5: Solve for x
    x = 272,720,589,369,511,776/248,249,829
  6. Step 6: Final answer
    x = 1,098,573,120.75

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