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Finding the Third Proportional to 1,569,681 and 3,281,490

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Solution

The third proportional to 1,569,681 and 3,281,490 is: 6,860,105.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,569,681 : 3,281,490 = 3,281,490 : x
  2. Step 2: Convert to fraction form
    1,569,681/3,281,490 = 3,281,490/x
  3. Step 3: Cross multiply
    1,569,681x = 3,281,490 × 3,281,490
  4. Step 4: Simplify right side
    1,569,681x = 10,768,176,620,100
  5. Step 5: Solve for x
    x = 10,768,176,620,100/1,569,681
  6. Step 6: Final answer
    x = 6,860,105.09

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.