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Finding the Third Proportional to 1,970,913 and 4,249,463

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Solution

The third proportional to 1,970,913 and 4,249,463 is: 9,162,218.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,970,913 : 4,249,463 = 4,249,463 : x
  2. Step 2: Convert to fraction form
    1,970,913/4,249,463 = 4,249,463/x
  3. Step 3: Cross multiply
    1,970,913x = 4,249,463 × 4,249,463
  4. Step 4: Simplify right side
    1,970,913x = 18,057,935,788,369
  5. Step 5: Solve for x
    x = 18,057,935,788,369/1,970,913
  6. Step 6: Final answer
    x = 9,162,218.62

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.