Finding the Third Proportional to 473,984 and 1,014,398
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Solution
The third proportional to 473,984 and 1,014,398 is: 2,170,966.32
Step by Step Solution
- Step 1: Write the proportion equation
473,984 : 1,014,398 = 1,014,398 : x - Step 2: Convert to fraction form
473,984/1,014,398 = 1,014,398/x - Step 3: Cross multiply
473,984x = 1,014,398 × 1,014,398 - Step 4: Simplify right side
473,984x = 1,029,003,302,404 - Step 5: Solve for x
x = 1,029,003,302,404/473,984 - Step 6: Final answer
x = 2,170,966.32
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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.