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Finding the Third Proportional to 735,490 and 1,587,148

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Solution

The third proportional to 735,490 and 1,587,148 is: 3,424,980.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    735,490 : 1,587,148 = 1,587,148 : x
  2. Step 2: Convert to fraction form
    735,490/1,587,148 = 1,587,148/x
  3. Step 3: Cross multiply
    735,490x = 1,587,148 × 1,587,148
  4. Step 4: Simplify right side
    735,490x = 2,519,038,773,904
  5. Step 5: Solve for x
    x = 2,519,038,773,904/735,490
  6. Step 6: Final answer
    x = 3,424,980.32

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.