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Finding the Third Proportional to 971,316 and 1,470,521.25

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Solution

The third proportional to 971,316 and 1,470,521.25 is: 2,226,291.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    971,316 : 1,470,521.25 = 1,470,521.25 : x
  2. Step 2: Convert to fraction form
    971,316/1,470,521.25 = 1,470,521.25/x
  3. Step 3: Cross multiply
    971,316x = 1,470,521.25 × 1,470,521.25
  4. Step 4: Simplify right side
    971,316x = 2,162,432,746,701.56
  5. Step 5: Solve for x
    x = 2,162,432,746,701.56/971,316
  6. Step 6: Final answer
    x = 2,226,291.70

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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.