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Finding the Third Proportional to 1,875,072 and 4,090,875

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Solution

The third proportional to 1,875,072 and 4,090,875 is: 8,925,128.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,875,072 : 4,090,875 = 4,090,875 : x
  2. Step 2: Convert to fraction form
    1,875,072/4,090,875 = 4,090,875/x
  3. Step 3: Cross multiply
    1,875,072x = 4,090,875 × 4,090,875
  4. Step 4: Simplify right side
    1,875,072x = 16,735,258,265,625
  5. Step 5: Solve for x
    x = 16,735,258,265,625/1,875,072
  6. Step 6: Final answer
    x = 8,925,128.35

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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.