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Finding the Third Proportional to 723,087 and 1,574,862

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Solution

The third proportional to 723,087 and 1,574,862 is: 3,430,002.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    723,087 : 1,574,862 = 1,574,862 : x
  2. Step 2: Convert to fraction form
    723,087/1,574,862 = 1,574,862/x
  3. Step 3: Cross multiply
    723,087x = 1,574,862 × 1,574,862
  4. Step 4: Simplify right side
    723,087x = 2,480,190,319,044
  5. Step 5: Solve for x
    x = 2,480,190,319,044/723,087
  6. Step 6: Final answer
    x = 3,430,002.64

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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.