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Finding the Third Proportional to 1,562,605.13 and 2,348,068.13

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Solution

The third proportional to 1,562,605.13 and 2,348,068.13 is: 3,528,353.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,562,605.13 : 2,348,068.13 = 2,348,068.13 : x
  2. Step 2: Convert to fraction form
    1,562,605.13/2,348,068.13 = 2,348,068.13/x
  3. Step 3: Cross multiply
    1,562,605.13x = 2,348,068.13 × 2,348,068.13
  4. Step 4: Simplify right side
    1,562,605.13x = 5,513,423,919,641.02
  5. Step 5: Solve for x
    x = 5,513,423,919,641.02/1,562,605.13
  6. Step 6: Final answer
    x = 3,528,353.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.