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Finding the Third Proportional to 830,547 and 1,273,239

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Solution

The third proportional to 830,547 and 1,273,239 is: 1,951,891.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    830,547 : 1,273,239 = 1,273,239 : x
  2. Step 2: Convert to fraction form
    830,547/1,273,239 = 1,273,239/x
  3. Step 3: Cross multiply
    830,547x = 1,273,239 × 1,273,239
  4. Step 4: Simplify right side
    830,547x = 1,621,137,551,121
  5. Step 5: Solve for x
    x = 1,621,137,551,121/830,547
  6. Step 6: Final answer
    x = 1,951,891.41

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.