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Finding the Third Proportional to 1,530,742 and 3,341,276

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Solution

The third proportional to 1,530,742 and 3,341,276 is: 7,293,276.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,530,742 : 3,341,276 = 3,341,276 : x
  2. Step 2: Convert to fraction form
    1,530,742/3,341,276 = 3,341,276/x
  3. Step 3: Cross multiply
    1,530,742x = 3,341,276 × 3,341,276
  4. Step 4: Simplify right side
    1,530,742x = 11,164,125,308,176
  5. Step 5: Solve for x
    x = 11,164,125,308,176/1,530,742
  6. Step 6: Final answer
    x = 7,293,276.93

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.