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Finding the Third Proportional to 904,148 and 1,321,411

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Solution

The third proportional to 904,148 and 1,321,411 is: 1,931,240.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    904,148 : 1,321,411 = 1,321,411 : x
  2. Step 2: Convert to fraction form
    904,148/1,321,411 = 1,321,411/x
  3. Step 3: Cross multiply
    904,148x = 1,321,411 × 1,321,411
  4. Step 4: Simplify right side
    904,148x = 1,746,127,030,921
  5. Step 5: Solve for x
    x = 1,746,127,030,921/904,148
  6. Step 6: Final answer
    x = 1,931,240.27

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.