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Finding the Third Proportional to 921,554 and 1,430,307

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Solution

The third proportional to 921,554 and 1,430,307 is: 2,219,922.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    921,554 : 1,430,307 = 1,430,307 : x
  2. Step 2: Convert to fraction form
    921,554/1,430,307 = 1,430,307/x
  3. Step 3: Cross multiply
    921,554x = 1,430,307 × 1,430,307
  4. Step 4: Simplify right side
    921,554x = 2,045,778,114,249
  5. Step 5: Solve for x
    x = 2,045,778,114,249/921,554
  6. Step 6: Final answer
    x = 2,219,922.13

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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.