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Finding the Third Proportional to 708,013 and 1,088,897

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Solution

The third proportional to 708,013 and 1,088,897 is: 1,674,682.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    708,013 : 1,088,897 = 1,088,897 : x
  2. Step 2: Convert to fraction form
    708,013/1,088,897 = 1,088,897/x
  3. Step 3: Cross multiply
    708,013x = 1,088,897 × 1,088,897
  4. Step 4: Simplify right side
    708,013x = 1,185,696,676,609
  5. Step 5: Solve for x
    x = 1,185,696,676,609/708,013
  6. Step 6: Final answer
    x = 1,674,682.07

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.