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Finding the Third Proportional to 1,865,938 and 4,069,646

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Solution

The third proportional to 1,865,938 and 4,069,646 is: 8,875,974.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,865,938 : 4,069,646 = 4,069,646 : x
  2. Step 2: Convert to fraction form
    1,865,938/4,069,646 = 4,069,646/x
  3. Step 3: Cross multiply
    1,865,938x = 4,069,646 × 4,069,646
  4. Step 4: Simplify right side
    1,865,938x = 16,562,018,565,316
  5. Step 5: Solve for x
    x = 16,562,018,565,316/1,865,938
  6. Step 6: Final answer
    x = 8,875,974.75

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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.