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Finding the Third Proportional to 731,210 and 1,130,006

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Solution

The third proportional to 731,210 and 1,130,006 is: 1,746,302.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    731,210 : 1,130,006 = 1,130,006 : x
  2. Step 2: Convert to fraction form
    731,210/1,130,006 = 1,130,006/x
  3. Step 3: Cross multiply
    731,210x = 1,130,006 × 1,130,006
  4. Step 4: Simplify right side
    731,210x = 1,276,913,560,036
  5. Step 5: Solve for x
    x = 1,276,913,560,036/731,210
  6. Step 6: Final answer
    x = 1,746,302.10

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.