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Finding the Third Proportional to 706,527 and 1,530,342

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Solution

The third proportional to 706,527 and 1,530,342 is: 3,314,730.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,527 : 1,530,342 = 1,530,342 : x
  2. Step 2: Convert to fraction form
    706,527/1,530,342 = 1,530,342/x
  3. Step 3: Cross multiply
    706,527x = 1,530,342 × 1,530,342
  4. Step 4: Simplify right side
    706,527x = 2,341,946,636,964
  5. Step 5: Solve for x
    x = 2,341,946,636,964/706,527
  6. Step 6: Final answer
    x = 3,314,730.56

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.