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Finding the Third Proportional to 1,736,730 and 2,623,243

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Solution

The third proportional to 1,736,730 and 2,623,243 is: 3,962,276.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,736,730 : 2,623,243 = 2,623,243 : x
  2. Step 2: Convert to fraction form
    1,736,730/2,623,243 = 2,623,243/x
  3. Step 3: Cross multiply
    1,736,730x = 2,623,243 × 2,623,243
  4. Step 4: Simplify right side
    1,736,730x = 6,881,403,837,049
  5. Step 5: Solve for x
    x = 6,881,403,837,049/1,736,730
  6. Step 6: Final answer
    x = 3,962,276.14

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.