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Finding the Third Proportional to 975,498 and 1,501,290

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Solution

The third proportional to 975,498 and 1,501,290 is: 2,310,483.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    975,498 : 1,501,290 = 1,501,290 : x
  2. Step 2: Convert to fraction form
    975,498/1,501,290 = 1,501,290/x
  3. Step 3: Cross multiply
    975,498x = 1,501,290 × 1,501,290
  4. Step 4: Simplify right side
    975,498x = 2,253,871,664,100
  5. Step 5: Solve for x
    x = 2,253,871,664,100/975,498
  6. Step 6: Final answer
    x = 2,310,483.12

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