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Finding the Third Proportional to 724,148 and 1,572,712

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Solution

The third proportional to 724,148 and 1,572,712 is: 3,415,631.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    724,148 : 1,572,712 = 1,572,712 : x
  2. Step 2: Convert to fraction form
    724,148/1,572,712 = 1,572,712/x
  3. Step 3: Cross multiply
    724,148x = 1,572,712 × 1,572,712
  4. Step 4: Simplify right side
    724,148x = 2,473,423,034,944
  5. Step 5: Solve for x
    x = 2,473,423,034,944/724,148
  6. Step 6: Final answer
    x = 3,415,631.94

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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.