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Finding the Third Proportional to 1,987,506 and 4,289,724

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Solution

The third proportional to 1,987,506 and 4,289,724 is: 9,258,705.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,987,506 : 4,289,724 = 4,289,724 : x
  2. Step 2: Convert to fraction form
    1,987,506/4,289,724 = 4,289,724/x
  3. Step 3: Cross multiply
    1,987,506x = 4,289,724 × 4,289,724
  4. Step 4: Simplify right side
    1,987,506x = 18,401,731,996,176
  5. Step 5: Solve for x
    x = 18,401,731,996,176/1,987,506
  6. Step 6: Final answer
    x = 9,258,705.13

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.