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Finding the Third Proportional to 1,097,062 and 1,657,289

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Solution

The third proportional to 1,097,062 and 1,657,289 is: 2,503,602.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,097,062 : 1,657,289 = 1,657,289 : x
  2. Step 2: Convert to fraction form
    1,097,062/1,657,289 = 1,657,289/x
  3. Step 3: Cross multiply
    1,097,062x = 1,657,289 × 1,657,289
  4. Step 4: Simplify right side
    1,097,062x = 2,746,606,829,521
  5. Step 5: Solve for x
    x = 2,746,606,829,521/1,097,062
  6. Step 6: Final answer
    x = 2,503,602.19

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.