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Finding the Third Proportional to 971,038.13 and 1,470,051.28

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Solution

The third proportional to 971,038.13 and 1,470,051.28 is: 2,225,505.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    971,038.13 : 1,470,051.28 = 1,470,051.28 : x
  2. Step 2: Convert to fraction form
    971,038.13/1,470,051.28 = 1,470,051.28/x
  3. Step 3: Cross multiply
    971,038.13x = 1,470,051.28 × 1,470,051.28
  4. Step 4: Simplify right side
    971,038.13x = 2,161,050,769,504.77
  5. Step 5: Solve for x
    x = 2,161,050,769,504.77/971,038.13
  6. Step 6: Final answer
    x = 2,225,505.58

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Why These Related Problems?

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