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Finding the Third Proportional to 1,583,766 and 3,466,854

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Solution

The third proportional to 1,583,766 and 3,466,854 is: 7,588,922.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,583,766 : 3,466,854 = 3,466,854 : x
  2. Step 2: Convert to fraction form
    1,583,766/3,466,854 = 3,466,854/x
  3. Step 3: Cross multiply
    1,583,766x = 3,466,854 × 3,466,854
  4. Step 4: Simplify right side
    1,583,766x = 12,019,076,657,316
  5. Step 5: Solve for x
    x = 12,019,076,657,316/1,583,766
  6. Step 6: Final answer
    x = 7,588,922.01

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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.