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Finding the Third Proportional to 971,390 and 1,447,095

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Solution

The third proportional to 971,390 and 1,447,095 is: 2,155,760.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    971,390 : 1,447,095 = 1,447,095 : x
  2. Step 2: Convert to fraction form
    971,390/1,447,095 = 1,447,095/x
  3. Step 3: Cross multiply
    971,390x = 1,447,095 × 1,447,095
  4. Step 4: Simplify right side
    971,390x = 2,094,083,939,025
  5. Step 5: Solve for x
    x = 2,094,083,939,025/971,390
  6. Step 6: Final answer
    x = 2,155,760.24

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.