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Finding the Third Proportional to 566,106 and 909,030

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Solution

The third proportional to 566,106 and 909,030 is: 1,459,683.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    566,106 : 909,030 = 909,030 : x
  2. Step 2: Convert to fraction form
    566,106/909,030 = 909,030/x
  3. Step 3: Cross multiply
    566,106x = 909,030 × 909,030
  4. Step 4: Simplify right side
    566,106x = 826,335,540,900
  5. Step 5: Solve for x
    x = 826,335,540,900/566,106
  6. Step 6: Final answer
    x = 1,459,683.42

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.