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Finding the Third Proportional to 470,937 and 1,029,897

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Solution

The third proportional to 470,937 and 1,029,897 is: 2,252,292.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,937 : 1,029,897 = 1,029,897 : x
  2. Step 2: Convert to fraction form
    470,937/1,029,897 = 1,029,897/x
  3. Step 3: Cross multiply
    470,937x = 1,029,897 × 1,029,897
  4. Step 4: Simplify right side
    470,937x = 1,060,687,830,609
  5. Step 5: Solve for x
    x = 1,060,687,830,609/470,937
  6. Step 6: Final answer
    x = 2,252,292.41

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.