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Finding the Third Proportional to 710,998 and 1,006,036

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Solution

The third proportional to 710,998 and 1,006,036 is: 1,423,503.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    710,998 : 1,006,036 = 1,006,036 : x
  2. Step 2: Convert to fraction form
    710,998/1,006,036 = 1,006,036/x
  3. Step 3: Cross multiply
    710,998x = 1,006,036 × 1,006,036
  4. Step 4: Simplify right side
    710,998x = 1,012,108,433,296
  5. Step 5: Solve for x
    x = 1,012,108,433,296/710,998
  6. Step 6: Final answer
    x = 1,423,503.91

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.