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Finding the Third Proportional to 671,218 and 1,036,987

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Solution

The third proportional to 671,218 and 1,036,987 is: 1,602,075.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    671,218 : 1,036,987 = 1,036,987 : x
  2. Step 2: Convert to fraction form
    671,218/1,036,987 = 1,036,987/x
  3. Step 3: Cross multiply
    671,218x = 1,036,987 × 1,036,987
  4. Step 4: Simplify right side
    671,218x = 1,075,342,038,169
  5. Step 5: Solve for x
    x = 1,075,342,038,169/671,218
  6. Step 6: Final answer
    x = 1,602,075.69

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.