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Finding the Third Proportional to 1,046,495 and 1,577,411

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Solution

The third proportional to 1,046,495 and 1,577,411 is: 2,377,675.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,046,495 : 1,577,411 = 1,577,411 : x
  2. Step 2: Convert to fraction form
    1,046,495/1,577,411 = 1,577,411/x
  3. Step 3: Cross multiply
    1,046,495x = 1,577,411 × 1,577,411
  4. Step 4: Simplify right side
    1,046,495x = 2,488,225,462,921
  5. Step 5: Solve for x
    x = 2,488,225,462,921/1,046,495
  6. Step 6: Final answer
    x = 2,377,675.44

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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.