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Finding the Third Proportional to 5,836,254 and 9,323,541

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Solution

The third proportional to 5,836,254 and 9,323,541 is: 14,894,556.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,836,254 : 9,323,541 = 9,323,541 : x
  2. Step 2: Convert to fraction form
    5,836,254/9,323,541 = 9,323,541/x
  3. Step 3: Cross multiply
    5,836,254x = 9,323,541 × 9,323,541
  4. Step 4: Simplify right side
    5,836,254x = 86,928,416,778,681
  5. Step 5: Solve for x
    x = 86,928,416,778,681/5,836,254
  6. Step 6: Final answer
    x = 14,894,556.81

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.