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Finding the Third Proportional to 707,004 and 1,527,030

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Solution

The third proportional to 707,004 and 1,527,030 is: 3,298,171.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    707,004 : 1,527,030 = 1,527,030 : x
  2. Step 2: Convert to fraction form
    707,004/1,527,030 = 1,527,030/x
  3. Step 3: Cross multiply
    707,004x = 1,527,030 × 1,527,030
  4. Step 4: Simplify right side
    707,004x = 2,331,820,620,900
  5. Step 5: Solve for x
    x = 2,331,820,620,900/707,004
  6. Step 6: Final answer
    x = 3,298,171.75

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.