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Finding the Third Proportional to 788,064 and 1,248,070.50

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Solution

The third proportional to 788,064 and 1,248,070.50 is: 1,976,590.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    788,064 : 1,248,070.50 = 1,248,070.50 : x
  2. Step 2: Convert to fraction form
    788,064/1,248,070.50 = 1,248,070.50/x
  3. Step 3: Cross multiply
    788,064x = 1,248,070.50 × 1,248,070.50
  4. Step 4: Simplify right side
    788,064x = 1,557,679,972,970.25
  5. Step 5: Solve for x
    x = 1,557,679,972,970.25/788,064
  6. Step 6: Final answer
    x = 1,976,590.70

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.