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Finding the Third Proportional to 1,585,332 and 3,473,653

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Solution

The third proportional to 1,585,332 and 3,473,653 is: 7,611,191.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,585,332 : 3,473,653 = 3,473,653 : x
  2. Step 2: Convert to fraction form
    1,585,332/3,473,653 = 3,473,653/x
  3. Step 3: Cross multiply
    1,585,332x = 3,473,653 × 3,473,653
  4. Step 4: Simplify right side
    1,585,332x = 12,066,265,164,409
  5. Step 5: Solve for x
    x = 12,066,265,164,409/1,585,332
  6. Step 6: Final answer
    x = 7,611,191.32

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.