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Finding the Third Proportional to 670,485 and 1,427,391

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Solution

The third proportional to 670,485 and 1,427,391 is: 3,038,763.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    670,485 : 1,427,391 = 1,427,391 : x
  2. Step 2: Convert to fraction form
    670,485/1,427,391 = 1,427,391/x
  3. Step 3: Cross multiply
    670,485x = 1,427,391 × 1,427,391
  4. Step 4: Simplify right side
    670,485x = 2,037,445,066,881
  5. Step 5: Solve for x
    x = 2,037,445,066,881/670,485
  6. Step 6: Final answer
    x = 3,038,763.08

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.