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Finding the Third Proportional to 690,388 and 1,506,288

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Solution

The third proportional to 690,388 and 1,506,288 is: 3,286,417.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    690,388 : 1,506,288 = 1,506,288 : x
  2. Step 2: Convert to fraction form
    690,388/1,506,288 = 1,506,288/x
  3. Step 3: Cross multiply
    690,388x = 1,506,288 × 1,506,288
  4. Step 4: Simplify right side
    690,388x = 2,268,903,538,944
  5. Step 5: Solve for x
    x = 2,268,903,538,944/690,388
  6. Step 6: Final answer
    x = 3,286,417.98

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.