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Finding the Third Proportional to 803,547 and 1,716,071

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Solution

The third proportional to 803,547 and 1,716,071 is: 3,664,875.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    803,547 : 1,716,071 = 1,716,071 : x
  2. Step 2: Convert to fraction form
    803,547/1,716,071 = 1,716,071/x
  3. Step 3: Cross multiply
    803,547x = 1,716,071 × 1,716,071
  4. Step 4: Simplify right side
    803,547x = 2,944,899,677,041
  5. Step 5: Solve for x
    x = 2,944,899,677,041/803,547
  6. Step 6: Final answer
    x = 3,664,875.45

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.