Finding the Third Proportional to 473,782 and 1,036,139
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Solution
The third proportional to 473,782 and 1,036,139 is: 2,265,987.37
Step by Step Solution
- Step 1: Write the proportion equation
473,782 : 1,036,139 = 1,036,139 : x - Step 2: Convert to fraction form
473,782/1,036,139 = 1,036,139/x - Step 3: Cross multiply
473,782x = 1,036,139 × 1,036,139 - Step 4: Simplify right side
473,782x = 1,073,584,027,321 - Step 5: Solve for x
x = 1,073,584,027,321/473,782 - Step 6: Final answer
x = 2,265,987.37
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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.