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Finding the Third Proportional to 973,095 and 1,549,582.50

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Solution

The third proportional to 973,095 and 1,549,582.50 is: 2,467,596.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    973,095 : 1,549,582.50 = 1,549,582.50 : x
  2. Step 2: Convert to fraction form
    973,095/1,549,582.50 = 1,549,582.50/x
  3. Step 3: Cross multiply
    973,095x = 1,549,582.50 × 1,549,582.50
  4. Step 4: Simplify right side
    973,095x = 2,401,205,924,306.25
  5. Step 5: Solve for x
    x = 2,401,205,924,306.25/973,095
  6. Step 6: Final answer
    x = 2,467,596.61

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.