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Finding the Third Proportional to 736,803 and 1,547,910

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Solution

The third proportional to 736,803 and 1,547,910 is: 3,251,921.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    736,803 : 1,547,910 = 1,547,910 : x
  2. Step 2: Convert to fraction form
    736,803/1,547,910 = 1,547,910/x
  3. Step 3: Cross multiply
    736,803x = 1,547,910 × 1,547,910
  4. Step 4: Simplify right side
    736,803x = 2,396,025,368,100
  5. Step 5: Solve for x
    x = 2,396,025,368,100/736,803
  6. Step 6: Final answer
    x = 3,251,921.30

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.