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Finding the Third Proportional to 1,585,324 and 3,473,637

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Solution

The third proportional to 1,585,324 and 3,473,637 is: 7,611,159.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,585,324 : 3,473,637 = 3,473,637 : x
  2. Step 2: Convert to fraction form
    1,585,324/3,473,637 = 3,473,637/x
  3. Step 3: Cross multiply
    1,585,324x = 3,473,637 × 3,473,637
  4. Step 4: Simplify right side
    1,585,324x = 12,066,154,007,769
  5. Step 5: Solve for x
    x = 12,066,154,007,769/1,585,324
  6. Step 6: Final answer
    x = 7,611,159.62

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Why These Related Problems?

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